Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras

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Publisher : CUP Archive
ISBN 13 : 0521079888
Total Pages : 149 pages
Book Rating : 4.5/5 (21 download)

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Book Synopsis Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras by : F. F. Bonsall

Download or read book Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras written by F. F. Bonsall and published by CUP Archive. This book was released on 1971-03-02 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors develop various applications, in particular to the study of Banach algebras where the numerical range provides an important link between the algebraic and metric structures.

Numerical Ranges II

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Publisher : Cambridge University Press
ISBN 13 : 0521202272
Total Pages : 189 pages
Book Rating : 4.5/5 (212 download)

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Book Synopsis Numerical Ranges II by : F. F. Bonsall

Download or read book Numerical Ranges II written by F. F. Bonsall and published by Cambridge University Press. This book was released on 1973-08-02 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: The landlady, landlord, cat, trap, and cheese all take credit for catching the long-tailed rat who is really the only one who knows the truth of the matter.

Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (634 download)

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Book Synopsis Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras by : Frank F. Bonsall

Download or read book Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras written by Frank F. Bonsall and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Ranges

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (929 download)

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Book Synopsis Numerical Ranges by : F. F. Bonsall

Download or read book Numerical Ranges written by F. F. Bonsall and published by . This book was released on 1971 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521079884
Total Pages : 148 pages
Book Rating : 4.0/5 (798 download)

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Book Synopsis Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras by : F. F. Bonsall

Download or read book Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras written by F. F. Bonsall and published by Cambridge University Press. This book was released on 1971-03-02 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of the numerical range of a linear operator on an arbitrary normed space had its beginnings around 1960, and during the 1970s the subject has developed and expanded rapidly. This book presents a self-contained exposition of the subject as a whole. The authors develop various applications, in particular to the study of Banach algebras where the numerical range provides an important link between the algebraic and metric structures.

Numerical Ranges of Operators and Normed Spaces and of All Elements of Normed Algebras

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (174 download)

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Book Synopsis Numerical Ranges of Operators and Normed Spaces and of All Elements of Normed Algebras by : Frank F. Bonsall

Download or read book Numerical Ranges of Operators and Normed Spaces and of All Elements of Normed Algebras written by Frank F. Bonsall and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Ranges of Hilbert Space Operators

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Publisher : Cambridge University Press
ISBN 13 : 1108787606
Total Pages : 556 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Numerical Ranges of Hilbert Space Operators by : Hwa-Long Gau

Download or read book Numerical Ranges of Hilbert Space Operators written by Hwa-Long Gau and published by Cambridge University Press. This book was released on 2021-08-05 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with elementary operator theory and matrix analysis, this book introduces the basic properties of the numerical range and gradually builds up the whole numerical range theory. Over 400 assorted problems, ranging from routine exercises to published research results, give you the chance to put the theory into practice and test your understanding. Interspersed throughout the text are numerous comments and references, allowing you to discover related developments and to pursue areas of interest in the literature. Also included is an appendix on basic convexity properties on the Euclidean space. Targeted at graduate students as well as researchers interested in functional analysis, this book provides a comprehensive coverage of classic and recent works on the numerical range theory. It serves as an accessible entry point into this lively and exciting research area.

Nigel J. Kalton Selecta

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Publisher : Birkhäuser
ISBN 13 : 3319187996
Total Pages : 778 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Nigel J. Kalton Selecta by : Fritz Gesztesy

Download or read book Nigel J. Kalton Selecta written by Fritz Gesztesy and published by Birkhäuser. This book was released on 2016-07-05 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory and to help readers grasp the extent of Kalton’s accomplishments. Kalton’s work represents a bridge to the mathematics of tomorrow, and this book will help readers to cross it. Nigel Kalton (1946-2010) was an extraordinary mathematician who made major contributions to an amazingly diverse range of fields over the course of his career.

Matrix and Operator Equations and Applications

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Publisher : Springer Nature
ISBN 13 : 3031253868
Total Pages : 763 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Matrix and Operator Equations and Applications by : Mohammad Sal Moslehian

Download or read book Matrix and Operator Equations and Applications written by Mohammad Sal Moslehian and published by Springer Nature. This book was released on 2023-07-29 with total page 763 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concerns matrix and operator equations that are widely applied in various disciplines of science to formulate challenging problems and solve them in a faithful way. The main aim of this contributed book is to study several important matrix and operator equalities and equations in a systematic and self-contained fashion. Some powerful methods have been used to investigate some significant equations in functional analysis, operator theory, matrix analysis, and numerous subjects in the last decades. The book is divided into two parts: (I) Matrix Equations and (II) Operator Equations. In the first part, the state-of-the-art of systems of matrix equations is given and generalized inverses are used to find their solutions. The semi-tensor product of matrices is used to solve quaternion matrix equations. The contents of some chapters are related to the relationship between matrix inequalities, matrix means, numerical range, and matrix equations. In addition, quaternion algebras and their applications are employed in solving some famous matrix equations like Sylvester, Stein, and Lyapunov equations. A chapter devoted to studying Hermitian polynomial matrix equations, which frequently arise from linear-quadratic control problems. Moreover, some classical and recently discovered inequalities for matrix exponentials are reviewed. In the second part, the latest developments in solving several equations appearing in modern operator theory are demonstrated. These are of interest to a wide audience of pure and applied mathematicians. For example, the Daugavet equation in the linear and nonlinear setting, iterative processes and Volterra-Fredholm integral equations, semicircular elements induced by connected finite graphs, free probability, singular integral operators with shifts, and operator differential equations closely related to the properties of the coefficient operators in some equations are discussed. The chapters give a comprehensive account of their subjects. The exhibited chapters are written in a reader-friendly style and can be read independently. Each chapter contains a rich bibliography. This book is intended for use by both researchers and graduate students of mathematics, physics, and engineering.

Non-Associative Normed Algebras: Volume 1, The Vidav–Palmer and Gelfand–Naimark Theorems

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Publisher : Cambridge University Press
ISBN 13 : 1139992775
Total Pages : 735 pages
Book Rating : 4.1/5 (399 download)

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Book Synopsis Non-Associative Normed Algebras: Volume 1, The Vidav–Palmer and Gelfand–Naimark Theorems by : Miguel Cabrera García

Download or read book Non-Associative Normed Algebras: Volume 1, The Vidav–Palmer and Gelfand–Naimark Theorems written by Miguel Cabrera García and published by Cambridge University Press. This book was released on 2014-07-31 with total page 735 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This first volume focuses on the non-associative generalizations of (associative) C*-algebras provided by the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems, which give rise to alternative C*-algebras and non-commutative JB*-algebras, respectively. The relationship between non-commutative JB*-algebras and JB*-triples is also fully discussed. The second volume covers Zel'manov's celebrated work in Jordan theory to derive classification theorems for non-commutative JB*-algebras and JB*-triples, as well as other topics. The book interweaves pure algebra, geometry of normed spaces, and complex analysis, and includes a wealth of historical comments, background material, examples and exercises. The authors also provide an extensive bibliography.

Symmetric Banach Manifolds and Jordan C*-Algebras

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Publisher : Elsevier
ISBN 13 : 0080872158
Total Pages : 457 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Symmetric Banach Manifolds and Jordan C*-Algebras by : H. Upmeier

Download or read book Symmetric Banach Manifolds and Jordan C*-Algebras written by H. Upmeier and published by Elsevier. This book was released on 2011-08-18 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book links two of the most active research areas in present day mathematics, namely Infinite Dimensional Holomorphy (on Banach spaces) and the theory of Operator Algebras (C*-Algebras and their non-associative generalizations, the Jordan C*-Algebras). It organizes in a systematic way a wealth of recent results which are so far only accessible in research journals and contains additional original contributions. Using Banach Lie groups and Banach Lie algebras, a theory of transformation groups on infinite dimensional manifolds is presented which covers many important examples such as Grassmann manifolds and the unit balls of operator algebras. The theory also has potential importance for mathematical physics by providing foundations for the construction of infinite dimensional curved phase spaces in quantum field theory.

Algebra and Applications 1

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Publisher : John Wiley & Sons
ISBN 13 : 111981815X
Total Pages : 368 pages
Book Rating : 4.1/5 (198 download)

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Book Synopsis Algebra and Applications 1 by : Abdenacer Makhlouf

Download or read book Algebra and Applications 1 written by Abdenacer Makhlouf and published by John Wiley & Sons. This book was released on 2021-03-31 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is part of Algebra and Geometry, a subject within the SCIENCES collection published by ISTE and Wiley, and the first of three volumes specifically focusing on algebra and its applications. Algebra and Applications 1 centers on non-associative algebras and includes an introduction to derived categories. The chapters are written by recognized experts in the field, providing insight into new trends, as well as a comprehensive introduction to the theory. The book incorporates self-contained surveys with the main results, applications and perspectives. The chapters in this volume cover a wide variety of algebraic structures and their related topics. Jordan superalgebras, Lie algebras, composition algebras, graded division algebras, non-associative C*- algebras, H*-algebras, Krichever-Novikov type algebras, preLie algebras and related structures, geometric structures on 3-Lie algebras and derived categories are all explored. Algebra and Applications 1 is of great interest to graduate students and researchers. Each chapter combines some of the features of both a graduate level textbook and of research level surveys.

Characterizations of C* Algebras

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Publisher : Routledge
ISBN 13 : 135146177X
Total Pages : 450 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Characterizations of C* Algebras by : Robert Doran

Download or read book Characterizations of C* Algebras written by Robert Doran and published by Routledge. This book was released on 2018-05-11 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first unified, in-depth discussion of the now classical Gelfand-Naimark theorems, thiscomprehensive text assesses the current status of modern analysis regarding both Banachand C*-algebras.Characterizations of C*-Algebras: The Gelfand-Naimark Theorems focuses on general theoryand basic properties in accordance with readers' needs ... provides complete proofs of theGelfand-Naimark theorems as well as refinements and extensions of the original axioms. . . gives applications of the theorems to topology, harmonic analysis. operator theory.group representations, and other topics ... treats Hermitian and symmetric *-algebras.algebras with and without identity, and algebras with arbitrary (possibly discontinuous)involutions . . . includes some 300 end-of-chapter exercises . . . offers appendices on functionalanalysis and Banach algebras ... and contains numerous examples and over 400 referencesthat illustrate important concepts and encourage further research.Characterizations of C*-Algebras: The Gelfand-Naimark Theorems is an ideal text for graduatestudents taking such courses as The Theory of Banach Algebras and C*-Algebras: inaddition , it makes an outstanding reference for physicists, research mathematicians in analysis,and applied scientists using C*-algebras in such areas as statistical mechanics, quantumtheory. and physical chemistry.

Recent Progress in Functional Analysis

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Publisher : Elsevier
ISBN 13 : 0080515924
Total Pages : 469 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Recent Progress in Functional Analysis by : K.D. Bierstedt

Download or read book Recent Progress in Functional Analysis written by K.D. Bierstedt and published by Elsevier. This book was released on 2001-09-20 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Proceedings Volume contains 32 articles on various interesting areas ofpresent-day functional analysis and its applications: Banach spaces andtheir geometry, operator ideals, Banach and operator algebras, operator andspectral theory, Frechet spaces and algebras, function and sequence spaces.The authors have taken much care with their articles and many papers presentimportant results and methods in active fields of research. Several surveytype articles (at the beginning and the end of the book) will be very usefulfor mathematicians who want to learn "what is going on" in some particularfield of research.

Real and Functional Analysis

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Publisher : Springer Nature
ISBN 13 : 3030382192
Total Pages : 586 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Real and Functional Analysis by : Vladimir I. Bogachev

Download or read book Real and Functional Analysis written by Vladimir I. Bogachev and published by Springer Nature. This book was released on 2020-02-25 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on lectures given at "Mekhmat", the Department of Mechanics and Mathematics at Moscow State University, one of the top mathematical departments worldwide, with a rich tradition of teaching functional analysis. Featuring an advanced course on real and functional analysis, the book presents not only core material traditionally included in university courses of different levels, but also a survey of the most important results of a more subtle nature, which cannot be considered basic but which are useful for applications. Further, it includes several hundred exercises of varying difficulty with tips and references. The book is intended for graduate and PhD students studying real and functional analysis as well as mathematicians and physicists whose research is related to functional analysis.

Jordan Triple Systems in Complex and Functional Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 1470450836
Total Pages : 560 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Jordan Triple Systems in Complex and Functional Analysis by : José M. Isidro

Download or read book Jordan Triple Systems in Complex and Functional Analysis written by José M. Isidro and published by American Mathematical Soc.. This book was released on 2019-12-09 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a systematic account of the impressive developments in the theory of symmetric manifolds achieved over the past 50 years. It contains detailed and friendly, but rigorous, proofs of the key results in the theory. Milestones are the study of the group of holomomorphic automorphisms of bounded domains in a complex Banach space (Vigué and Upmeier in the late 1970s), Kaup's theorem on the equivalence of the categories of symmetric Banach manifolds and that of hermitian Jordan triple systems, and the culminating point in the process: the Riemann mapping theorem for complex Banach spaces (Kaup, 1982). This led to the introduction of wide classes of Banach spaces known as JB∗-triples and JBW∗-triples whose geometry has been thoroughly studied by several outstanding mathematicians in the late 1980s. The book presents a good example of fruitful interaction between different branches of mathematics, making it attractive for mathematicians interested in various fields such as algebra, differential geometry and, of course, complex and functional analysis.

Ordered Structures and Applications

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Publisher : Birkhäuser
ISBN 13 : 3319278428
Total Pages : 516 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Ordered Structures and Applications by : Marcel de Jeu

Download or read book Ordered Structures and Applications written by Marcel de Jeu and published by Birkhäuser. This book was released on 2016-09-22 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of Positivity VII, held from 22-26 July 2013, in Leiden, the Netherlands. Positivity is the mathematical field concerned with ordered structures and their applications in the broadest sense of the word. A biyearly series of conferences is devoted to presenting the latest developments in this lively and growing discipline. The lectures at the conference covered a broad spectrum of topics, ranging from order-theoretic approaches to stochastic processes, positive solutions of evolution equations and positive operators on vector lattices, to order structures in the context of algebras of operators on Hilbert spaces. The contributions in the book reflect this variety and appeal to university researchers in functional analysis, operator theory, measure and integration theory and operator algebras. Positivity VII was also the Zaanen Centennial Conference to mark the 100th birth year of Adriaan Cornelis Zaanen, who held the chair of Analysis in Leiden for more than 25 years and was one of the leaders in the field during his lifetime.