Operator and Norm Inequalities and Related Topics

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Publisher : Springer Nature
ISBN 13 : 3031021045
Total Pages : 822 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Operator and Norm Inequalities and Related Topics by : Richard M. Aron

Download or read book Operator and Norm Inequalities and Related Topics written by Richard M. Aron and published by Springer Nature. This book was released on 2022-08-10 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inequalities play a central role in mathematics with various applications in other disciplines. The main goal of this contributed volume is to present several important matrix, operator, and norm inequalities in a systematic and self-contained fashion. Some powerful methods are used to provide significant mathematical inequalities in functional analysis, operator theory and numerous fields in recent decades. Some chapters are devoted to giving a series of new characterizations of operator monotone functions and some others explore inequalities connected to log-majorization, relative operator entropy, and the Ando-Hiai inequality. Several chapters are focused on Birkhoff–James orthogonality and approximate orthogonality in Banach spaces and operator algebras such as C*-algebras from historical perspectives to current development. A comprehensive account of the boundedness, compactness, and restrictions of Toeplitz operators can be found in the book. Furthermore, an overview of the Bishop-Phelps-Bollobás theorem is provided. The state-of-the-art of Hardy-Littlewood inequalities in sequence spaces is given. The 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.

Weighted Norm Inequalities and Related Topics

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Publisher : Elsevier
ISBN 13 : 0080872271
Total Pages : 615 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Weighted Norm Inequalities and Related Topics by : J. García-Cuerva

Download or read book Weighted Norm Inequalities and Related Topics written by J. García-Cuerva and published by Elsevier. This book was released on 2011-08-18 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unifying thread of this book is the topic of Weighted Norm Inequalities, but many other related topics are covered, including Hardy spaces, singular integrals, maximal operators, functions of bounded mean oscillation and vector valued inequalities. The emphasis is placed on basic ideas; problems are first treated in a simple context and only afterwards are further results examined.

Operator Inequalities and Related Topics

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Publisher :
ISBN 13 :
Total Pages : 159 pages
Book Rating : 4.:/5 (246 download)

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Book Synopsis Operator Inequalities and Related Topics by : Hiroshi Nakazato

Download or read book Operator Inequalities and Related Topics written by Hiroshi Nakazato and published by . This book was released on 1999 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Positive Definiteness of Functions with Applications to Operator Norm Inequalities

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Publisher : American Mathematical Soc.
ISBN 13 : 0821853074
Total Pages : 93 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Positive Definiteness of Functions with Applications to Operator Norm Inequalities by : Hideki Kosaki

Download or read book Positive Definiteness of Functions with Applications to Operator Norm Inequalities written by Hideki Kosaki and published by American Mathematical Soc.. This book was released on 2011-06-10 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: Positive definiteness is determined for a wide class of functions relevant in the study of operator means and their norm comparisons. Then, this information is used to obtain an abundance of new sharp (unitarily) norm inequalities comparing various operator means and sometimes other related operators.

Weighted norm inequalities and related topics

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Publisher :
ISBN 13 :
Total Pages : 604 pages
Book Rating : 4.:/5 (935 download)

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Book Synopsis Weighted norm inequalities and related topics by : José L. Rubio de Francia

Download or read book Weighted norm inequalities and related topics written by José L. Rubio de Francia and published by . This book was released on 1985 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis without Borders

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Publisher : Springer Nature
ISBN 13 : 3031593979
Total Pages : 256 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Analysis without Borders by : Sergei Rogosin

Download or read book Analysis without Borders written by Sergei Rogosin and published by Springer Nature. This book was released on with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Evolution Equations and Related Topics

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Publisher : Birkhäuser
ISBN 13 : 3034879245
Total Pages : 803 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Nonlinear Evolution Equations and Related Topics by : Wolfgang Arendt

Download or read book Nonlinear Evolution Equations and Related Topics written by Wolfgang Arendt and published by Birkhäuser. This book was released on 2012-12-06 with total page 803 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philippe Bénilan was a most original and charismatic mathematician who had a deep and decisive impact on the theory of Nonlinear Evolution Equations. Dedicated to him, Nonlinear Evolution Equations and Related Topics contains research papers written by highly distinguished mathematicians. They are all related to Philippe Benilan's work and reflect the present state of this most active field. The contributions cover a wide range of nonlinear and linear equations.

Inequalities in Operator Theory and Its Related Topics

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Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (245 download)

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Book Synopsis Inequalities in Operator Theory and Its Related Topics by : Ritsuo Nakamoto

Download or read book Inequalities in Operator Theory and Its Related Topics written by Ritsuo Nakamoto and published by . This book was released on 1998 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Analysis, Operators, and Related Topics

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Publisher : Birkhäuser
ISBN 13 : 3034883781
Total Pages : 407 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Complex Analysis, Operators, and Related Topics by : Victor P. Havin

Download or read book Complex Analysis, Operators, and Related Topics written by Victor P. Havin and published by Birkhäuser. This book was released on 2012-12-06 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to some topical problems and various applications of operator theory and its interplay with modern complex analysis. 30 carefully selected surveys and research papers are united by the "operator theoretic ideology" and systematic use of modern function theoretical techniques.

Vector Measures, Integration and Related Topics

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Publisher : Springer Science & Business Media
ISBN 13 : 3034602111
Total Pages : 382 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Vector Measures, Integration and Related Topics by : Guillermo Curbera

Download or read book Vector Measures, Integration and Related Topics written by Guillermo Curbera and published by Springer Science & Business Media. This book was released on 2010-02-21 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of articles on the theme "vector measures, integration and applications" together with some related topics. The articles consist of both survey style and original research papers, are written by experts in thearea and present a succinct account of recent and up-to-date knowledge. The topic is interdisciplinary by nature and involves areas such as measure and integration (scalar, vector and operator-valued), classical and harmonic analysis, operator theory, non-commutative integration, andfunctional analysis. The material is of interest to experts, young researchers and postgraduate students.

Advances in Harmonic Analysis and Operator Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3034805160
Total Pages : 389 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Advances in Harmonic Analysis and Operator Theory by : Alexandre Almeida

Download or read book Advances in Harmonic Analysis and Operator Theory written by Alexandre Almeida and published by Springer Science & Business Media. This book was released on 2013-01-31 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to Professor Stefan Samko on the occasion of his seventieth birthday. The contributions display the range of his scientific interests in harmonic analysis and operator theory. Particular attention is paid to fractional integrals and derivatives, singular, hypersingular and potential operators in variable exponent spaces, pseudodifferential operators in various modern function and distribution spaces, as well as related applications, to mention but a few. Most contributions were firstly presented in two conferences at Lisbon and Aveiro, Portugal, in June‒July 2011.

Harmonic Analysis and Operator Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821803042
Total Pages : 528 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Harmonic Analysis and Operator Theory by : Stefania A. M. Marcantognini

Download or read book Harmonic Analysis and Operator Theory written by Stefania A. M. Marcantognini and published by American Mathematical Soc.. This book was released on 1995 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The collection covers a broad spectrum of topics, including: wavelet analysis, Haenkel operators, multimeasure theory, the boundary behavior of the Bergman kernel, interpolation theory, and Cotlar's Lemma on almost orthogonality in the context of L[superscript p] spaces and more...

Hardy Operators On Euclidean Spaces And Related Topics

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Publisher : World Scientific
ISBN 13 : 9811253692
Total Pages : 215 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Hardy Operators On Euclidean Spaces And Related Topics by : Shanzhen Lu

Download or read book Hardy Operators On Euclidean Spaces And Related Topics written by Shanzhen Lu and published by World Scientific. This book was released on 2023-03-23 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many branches of mathematical analysis and mathematical physics, the Hardy operator and Hardy inequality are fundamentally important and have been intensively studied ever since the pioneer researches. This volume presents new properties of higher-dimensional Hardy operators obtained by the authors and their collaborators over the last decade. Its prime focus is on higher-dimensional Hardy operators that are based on the spherical average form.The key motivation for this monograph is based on the fact that the Hardy operator is generally smaller than the Hardy-Littlewood maximal operator, which leads to, on the one hand, the operator norm of the Hardy operator itself being smaller than the latter. On the other hand, the former characterizing the weight function class or function spaces is greater than the latter.

Weighted Inequalities Of Hardy Type (Second Edition)

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813140666
Total Pages : 480 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Weighted Inequalities Of Hardy Type (Second Edition) by : Lars-erik Persson

Download or read book Weighted Inequalities Of Hardy Type (Second Edition) written by Lars-erik Persson and published by World Scientific Publishing Company. This book was released on 2017-06-16 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inequalities play an important role in almost all branches of mathematics as well as in other areas of science and engineering. This book surveys the present state of the theory of weighted integral inequalities of Hardy type, including modifications concerning Hardy-Steklov operators, and some basic results about Hardy-type inequalities and their limit (Carleman-Knopp type) inequalities. It also describes some rather new areas such as higher order and fractional order Hardy-type inequalities and integral inequalities on the cone of monotone functions, together with some applications and open problems.In this second edition, all chapters in the first edition have been updated with new information. Moreover, a new chapter contains new and complementary information concerning: (a) a convexity approach to prove and explain Hardy-type inequalities; (b) sharp constants; (c) scales of inequalities to characterize Hardy-type inequalities; (d) Hardy-type inequalities in other function spaces; and (e) a number of new open questions.

Excursions in Harmonic Analysis, Volume 2

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Publisher : Springer Science & Business Media
ISBN 13 : 0817683798
Total Pages : 461 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Excursions in Harmonic Analysis, Volume 2 by : Travis D Andrews

Download or read book Excursions in Harmonic Analysis, Volume 2 written by Travis D Andrews and published by Springer Science & Business Media. This book was released on 2013-01-04 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I · Sampling Theory · Remote Sensing · Mathematics of Data Processing · Applications of Data Processing Volume II · Measure Theory · Filtering · Operator Theory · Biomathematics Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.

Singular Integral Operators, Quantitative Flatness, and Boundary Problems

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Publisher : Springer Nature
ISBN 13 : 3031082346
Total Pages : 605 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Singular Integral Operators, Quantitative Flatness, and Boundary Problems by : Juan José Marín

Download or read book Singular Integral Operators, Quantitative Flatness, and Boundary Problems written by Juan José Marín and published by Springer Nature. This book was released on 2022-09-29 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a multitude of function spaces. Many significant new results are explored in detail, with complete proofs, emphasizing and elaborating on the link between the geometric measure-theoretic features of an underlying surface and the functional analytic properties of singular integral operators defined on it. Graduate students, researchers, and professionals interested in a modern account of the topic of singular integral operators and boundary value problems – as well as those more generally interested in harmonic analysis, PDEs, and geometric analysis – will find this text to be a valuable addition to the mathematical literature.

Tensor Norms and Operator Ideals

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Publisher : Elsevier
ISBN 13 : 0080872875
Total Pages : 579 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Tensor Norms and Operator Ideals by : A. Defant

Download or read book Tensor Norms and Operator Ideals written by A. Defant and published by Elsevier. This book was released on 1992-11-26 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three chapters of this book are entitled Basic Concepts, Tensor Norms, and Special Topics. The first may serve as part of an introductory course in Functional Analysis since it shows the powerful use of the projective and injective tensor norms, as well as the basics of the theory of operator ideals. The second chapter is the main part of the book: it presents the theory of tensor norms as designed by Grothendieck in the Resumé and deals with the relation between tensor norms and operator ideals. The last chapter deals with special questions. Each section is accompanied by a series of exercises.