Lectures On Operator Theory And Its Applications

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Lectures on Operator Theory and Its Applications

Author : Albrecht Böttcher
Publisher : American Mathematical Soc.
ISBN 13 : 082180457X
Total Pages : 354 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lectures on Operator Theory and Its Applications by : Albrecht Böttcher

Download or read book Lectures on Operator Theory and Its Applications written by Albrecht Böttcher and published by American Mathematical Soc.. This book was released on 1996 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much of the importance of mathematics lies in its ability to provide theories which are useful in widely different fields of endeavour. A good example is the large and amorphous body of knowledge known as the theory of linear operators or operator theory, which came to life about a century ago as a theory to encompass properties common to matrix, differential, and integral operators. Thus, it is a primary purpose of operator theory to provide a coherent body of knowledge which can explain phenomena common to the enormous variety of problems in which such linear operators play a part. The theory is a vital part of functional analysis, whose methods and techniques are one of the major advances of twentieth century mathematics and now play a pervasive role in the modeling of phenomena in probability, imaging, signal processing, systems theory, etc, as well as in the more traditional areas of theoretical physics and mechanics. This book is based on lectures presented at a meeting on operator theory and its applications held at the Fields Institute in 1994.

Lectures on Operator Theory and Its Applications

Author : Albrecht Böttcher
Publisher :
ISBN 13 : 9781470431303
Total Pages : 354 pages
Book Rating : 4.4/5 (313 download)

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Book Synopsis Lectures on Operator Theory and Its Applications by : Albrecht Böttcher

Download or read book Lectures on Operator Theory and Its Applications written by Albrecht Böttcher and published by . This book was released on 1995 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much of the importance of mathematics lies in its ability to provide theories which are useful in widely different fields of endeavor. A good example is the large and amorphous body of knowledge known as "the theory of linear operators" or "operator theory", which came to life about a century ago as a theory to encompass properties common to matrix, differential, and integral operators. Thus, it is a primary purpose of operator theory to provide a coherent body of knowledge which can explain phenomena common to the enormous variety of problems in which such linear operators play a part. The th.

Operator Theory, Analysis and Mathematical Physics

Author : Jan Janas
Publisher : Springer Science & Business Media
ISBN 13 : 3764381353
Total Pages : 261 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Operator Theory, Analysis and Mathematical Physics by : Jan Janas

Download or read book Operator Theory, Analysis and Mathematical Physics written by Jan Janas and published by Springer Science & Business Media. This book was released on 2007-04-29 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains lectures delivered at the International Conference Operator Theory and its Applications in Mathematical Physics (OTAMP 2004), held at the Mathematical Research and Conference Center in Bedlewo near Poznan, Poland. The idea behind these lectures was to present interesting ramifications of operator methods in current research of mathematical physics.

Lectures on Operator Theory

Author : B. V. Rajarama Bhat
Publisher : American Mathematical Soc.
ISBN 13 : 0821808214
Total Pages : 337 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lectures on Operator Theory by : B. V. Rajarama Bhat

Download or read book Lectures on Operator Theory written by B. V. Rajarama Bhat and published by American Mathematical Soc.. This book was released on 1999 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book resulted from the lectures held at The Fields Institute (Waterloo, ON, Canada). Leading international experts presented current results on the theory of C*-algebras and von Neumann algebras, together with recent work on the classification of C*-algebras. Much of the material in the book is appearing here for the first time and is not available elsewhere in the literature.

M.G. Krein’s Lectures on Entire Operators

Author : Valentina Gorbachuk
Publisher : Birkhäuser
ISBN 13 : 303488902X
Total Pages : 228 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis M.G. Krein’s Lectures on Entire Operators by : Valentina Gorbachuk

Download or read book M.G. Krein’s Lectures on Entire Operators written by Valentina Gorbachuk and published by Birkhäuser. This book was released on 2012-12-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the theory of entire Hermitian operators, an important branch of functional analysis harmoniously combining the methods of operator theory and the theory of analytic functions. This theory anables various problems of classical and modern analysis to be looked at from a uniform point of view. In addition, it serves as a source for setting and solving many new problems in both theories. The three chapters of the book are based on the notes written by his students of M. G. Krein's lectures on the theory of entire operators with (1,1) deficiency index which he delivered in 1961 at the Pedagogical Institute of Odessa, and on his works on the extension theory of Hermitian operators and the theory of analytic functions. The theory is further developed in the direction of solving the problems set up by Krein at ICM-66 in the first two appendices. The first concerns the case of Hermitian operators with arbitrary defect numbers, entire with respect to an ordinary gauge and to a generalized one as well. The other focuses on the entire operators representable by differential operators. The third appendix is the translation from Russian of the unpublished notes of Krein's lecture in which, in particular, the place of the theory of entire operators in the whole analysis is elucidated. In Krein's mathematical heritage the theory of entire operators occupies a special position.

Theory and Applications of Nonlinear Operators of Accretive and Monotone Type

Author : Athanass Kartsatos
Publisher : CRC Press
ISBN 13 : 9780824797218
Total Pages : 338 pages
Book Rating : 4.7/5 (972 download)

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Book Synopsis Theory and Applications of Nonlinear Operators of Accretive and Monotone Type by : Athanass Kartsatos

Download or read book Theory and Applications of Nonlinear Operators of Accretive and Monotone Type written by Athanass Kartsatos and published by CRC Press. This book was released on 1996-03-14 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is based upon a Special Session on the Theory and Applications of Nonlinear Operators of Accretive and Monotone Type held during the recent meeting of the American Mathematical Society in San Francisco. It examines current developments in non-linear analysis, emphasizing accretive and monotone operator theory. The book presents a major survey/research article on partial functional differential equations with delay and an important survey/research article on approximation solvability.

Ten Lectures on Operator Algebras

Author : William Arveson
Publisher : American Mathematical Soc.
ISBN 13 : 0821807056
Total Pages : 103 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Ten Lectures on Operator Algebras by : William Arveson

Download or read book Ten Lectures on Operator Algebras written by William Arveson and published by American Mathematical Soc.. This book was released on 1984 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains expanded versions of ten lectures delivered at Texas Tech University in the summer of 1983. The operator algebras of the title are nonselfadjoint algebras of operators on Hilbert space.

Operator Theory, Operator Algebras, and Applications

Author : Great Plains Operator Theory Symposium
Publisher : American Mathematical Soc.
ISBN 13 : 0821839233
Total Pages : 440 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Operator Theory, Operator Algebras, and Applications by : Great Plains Operator Theory Symposium

Download or read book Operator Theory, Operator Algebras, and Applications written by Great Plains Operator Theory Symposium and published by American Mathematical Soc.. This book was released on 2006 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a presentation of some new trends in operator theory and operator algebras, with a view to their applications. It consists of separate papers written by some of the leading practitioners in the field. The content is put together by the three editors in a way that should help students and working mathematicians in other parts of the mathematical sciences gain insight into an important part of modern mathematics and its applications. While different specialist authors are outlining new results in this book, the presentations have been made user friendly with the aid of tutorial material. In fact, each paper contains three things: a friendly introduction with motivation, tutorial material, and new research. The authors have strived to make their results relevant to the rest of mathematics. A list of topics discussed in the book includes wavelets, frames and their applications, quantum dynamics, multivariable operator theory, $C*$-algebras, and von Neumann algebras. Some longer papers present recent advances on particular, long-standing problems such as extensions and dilations, the Kadison-Singer conjecture, and diagonals of self-adjoint operators.

Operator Algebras, Operator Theory and Applications

Author : Maria Amélia Bastos
Publisher : Springer Science & Business Media
ISBN 13 : 3764386843
Total Pages : 437 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Operator Algebras, Operator Theory and Applications by : Maria Amélia Bastos

Download or read book Operator Algebras, Operator Theory and Applications written by Maria Amélia Bastos and published by Springer Science & Business Media. This book was released on 2008-05-27 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is composed of three survey lecture courses and some twenty invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, held at Lisbon in September 2006. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The book is aimed at postgraduates and researchers in these fields.

The Extended Field of Operator Theory

Author : Michael A. Dritschel
Publisher : Springer Science & Business Media
ISBN 13 : 3764379804
Total Pages : 388 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis The Extended Field of Operator Theory by : Michael A. Dritschel

Download or read book The Extended Field of Operator Theory written by Michael A. Dritschel and published by Springer Science & Business Media. This book was released on 2007-06-25 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions originating from the International Workshop on Operator Theory and Its Applications (IWOTA) held in Newcastle upon Tyne in July 2004. The articles expertly cover a broad range of material at the cutting edge of functional analysis and its applications. The works are written by world authorities in their specialities.

Lectures on Hyponormal Operators

Author : Mihai Putinar
Publisher : Birkhäuser
ISBN 13 : 3034874669
Total Pages : 295 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Lectures on Hyponormal Operators by : Mihai Putinar

Download or read book Lectures on Hyponormal Operators written by Mihai Putinar and published by Birkhäuser. This book was released on 2012-12-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present lectures are based on a course deli vered by the authors at the Uni versi ty of Bucharest, in the winter semester 1985-1986. Without aiming at completeness, the topics selected cover all the major questions concerning hyponormal operators. Our main purpose is to provide the reader with a straightforward access to an active field of research which is strongly related to the spectral and perturbation theories of Hilbert space operators, singular integral equations and scattering theory. We have in view an audience composed especially of experts in operator theory or integral equations, mathematical physicists and graduate students. The book is intended as a reference for the basic results on hyponormal operators, but has the structure of a textbook. Parts of it can also be used as a second year graduate course. As prerequisites the reader is supposed to be acquainted with the basic principles of functional analysis and operator theory as covered for instance by Reed and Simon [1]. A t several stages of preparation of the manuscript we were pleased to benefit from proper comments made by our cOlleagues: Grigore Arsene, Tiberiu Constantinescu, Raul Curto, Jan Janas, Bebe Prunaru, Florin Radulescu, Khrysztof Rudol, Konrad Schmudgen, Florian-Horia Vasilescu. We warmly thank them all. We are indebted to Professor Israel Gohberg, the editor of this series, for his constant encouragement and his valuable mathematical advice. We wish to thank Mr. Benno Zimmermann, the Mathematics Editor at Birkhauser Verlag, for cooperation and assistance during the preparation of the manuscript.

Introduction to Operator Space Theory

Author : Gilles Pisier
Publisher : Cambridge University Press
ISBN 13 : 9780521811651
Total Pages : 492 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Introduction to Operator Space Theory by : Gilles Pisier

Download or read book Introduction to Operator Space Theory written by Gilles Pisier and published by Cambridge University Press. This book was released on 2003-08-25 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the theory of operator spaces, emphasising applications to C*-algebras.

M.G. Krein’s Lectures on Entire Operators

Author : Myroslav Gorbachuk
Publisher : Birkhäuser
ISBN 13 : 9783034898218
Total Pages : 222 pages
Book Rating : 4.8/5 (982 download)

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Book Synopsis M.G. Krein’s Lectures on Entire Operators by : Myroslav Gorbachuk

Download or read book M.G. Krein’s Lectures on Entire Operators written by Myroslav Gorbachuk and published by Birkhäuser. This book was released on 2012-10-14 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the theory of entire Hermitian operators, an important branch of functional analysis harmoniously combining the methods of operator theory and the theory of analytic functions. This theory anables various problems of classical and modern analysis to be looked at from a uniform point of view. In addition, it serves as a source for setting and solving many new problems in both theories. The three chapters of the book are based on the notes written by his students of M. G. Krein's lectures on the theory of entire operators with (1,1) deficiency index which he delivered in 1961 at the Pedagogical Institute of Odessa, and on his works on the extension theory of Hermitian operators and the theory of analytic functions. The theory is further developed in the direction of solving the problems set up by Krein at ICM-66 in the first two appendices. The first concerns the case of Hermitian operators with arbitrary defect numbers, entire with respect to an ordinary gauge and to a generalized one as well. The other focuses on the entire operators representable by differential operators. The third appendix is the translation from Russian of the unpublished notes of Krein's lecture in which, in particular, the place of the theory of entire operators in the whole analysis is elucidated. In Krein's mathematical heritage the theory of entire operators occupies a special position.

Tulane University Ring and Operator Theory Year, 1970-1971

Author : Karl H. Hofmann
Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 804 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Tulane University Ring and Operator Theory Year, 1970-1971 by : Karl H. Hofmann

Download or read book Tulane University Ring and Operator Theory Year, 1970-1971 written by Karl H. Hofmann and published by Lecture Notes in Mathematics. This book was released on 1972-02-28 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: From September 1970 through May 1971 Tulane University organized a special year long program in the theory of noncommutative rings and operator algebras. Visitors from various institutions of the U.S.A. and abroad contributed to a series of lectures in which they covered recent advances in their own field of specialty. These notes contain these lectures to the extent that they have not appeared elsewhere. This volume presents the lectures on operator algebras, applications to the theory of operators on Hilbert space, and harmonic analysis.

Differential and Integral Operators

Author : Israel C. Gohberg
Publisher : Birkhäuser
ISBN 13 : 3034887892
Total Pages : 333 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Differential and Integral Operators by : Israel C. Gohberg

Download or read book Differential and Integral Operators written by Israel C. Gohberg and published by Birkhäuser. This book was released on 2012-12-06 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This and the next volume of the OT series contain the proceedings of the Work shop on Operator Theory and its Applications, IWOTA 95, which was held at the University of Regensburg, Germany, July 31 to August 4, 1995. It was the eigth workshop of this kind. Following is a list of the seven previous workshops with reference to their proceedings: 1981 Operator Theory (Santa Monica, California, USA) 1983 Applications of Linear Operator Theory to Systems and Networks (Rehovot, Israel), OT 12 1985 Operator Theory and its Applications (Amsterdam, The Netherlands), OT 19 1987 Operator Theory and Functional Analysis (Mesa, Arizona, USA), OT 35 1989 Matrix and Operator Theory (Rotterdam, The Netherlands), OT 50 1991 Operator Theory and Complex Analysis (Sapporo, Japan), OT 59 1993 Operator Theory and Boundary Eigenvalue Problems (Vienna, Austria), OT 80 IWOTA 95 offered a rich programme on a wide range of latest developments in operator theory and its applications. The programme consisted of 6 invited plenary lectures, 54 invited special topic lectures and more than 100 invited session talks. About 180 participants from 25 countries attended the workshop, more than a third came from Eastern Europe. The conference covered different aspects of linear and nonlinear spectral prob lems, starting with problems for abstract operators up to spectral theory of ordi nary and partial differential operators, pseudodifferential operators, and integral operators. The workshop was also focussed on operator theory in spaces with indefinite metric, operator functions, interpolation and extension problems.

Operator theory and its applications

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Operator theory and its applications by :

Download or read book Operator theory and its applications written by and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Operator Theory, Analysis and Mathematical Physics

Author : Jan Janas
Publisher : Birkhäuser
ISBN 13 : 9783764391867
Total Pages : 260 pages
Book Rating : 4.3/5 (918 download)

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Book Synopsis Operator Theory, Analysis and Mathematical Physics by : Jan Janas

Download or read book Operator Theory, Analysis and Mathematical Physics written by Jan Janas and published by Birkhäuser. This book was released on 2009-09-03 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains lectures delivered at the International Conference Operator Theory and its Applications in Mathematical Physics (OTAMP 2004), held at the Mathematical Research and Conference Center in Bedlewo near Poznan, Poland. The idea behind these lectures was to present interesting ramifications of operator methods in current research of mathematical physics.