Advances in Structured Operator Theory and Related Areas, Marinus A. Kaashoek; Leiba Rodman; Hugo J. Woerdem

Автор: Tsuyoshi Ando; Il Bong Jung; Woo Young Lee
Название: Recent Advances in Operator Theory and Applications
ISBN: 3764388927 ISBN-13(EAN): 9783764388928
Издательство: Springer
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Описание: Contains the proceedings of the International Workshop on Operator Theory and Applications (IWOTA 2006) held at Seoul National University, Seoul, Korea, from July 31 to August 3, 2006. This volume contains sixteen research papers which reflect developments in operator theory and applications.

Автор: Takesaki, Masamichi
Название: Theory of operator algebras ii
ISBN: 3642076890 ISBN-13(EAN): 9783642076893
Издательство: Springer
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Описание: Together with Theory of Operator Algebras I and III, this book presents the theory of von Neumann algebras and non-commutative integration focusing on the group of automorphisms and the structure analysis.

Автор: Marinus A. Kaashoek; Leiba Rodman; Hugo J. Woerdem
Название: Advances in Structured Operator Theory and Related Areas
ISBN: 3034807988 ISBN-13(EAN): 9783034807982
Издательство: Springer
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Описание: This volume is dedicated to Leonid Lerer on the occasion of his seventieth birthday. The main part presents recent results in Lerer`s research area of interest, which includes Toeplitz, Toeplitz plus Hankel, and Wiener-Hopf operators, Bezout equations, inertia type results, matrix polynomials, and related areas in operator and matrix theory.

Автор: Laszlo Kerchy; Ciprian I. Foias; Izrael Gohberg; H
Название: Recent Advances in Operator Theory and Related Topics
ISBN: 3764366079 ISBN-13(EAN): 9783764366070
Издательство: Springer
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Описание: These 35 refereed articles report on recent and original results in various areas of operator theory and connected fields, many of them strongly related to contributions of Sz.-Nagy. The scientific part of the book is preceeded by fifty pages of biographical material, including several photos.

Автор: Fabrizio Colombo; Irene Sabadini; Daniele C. Strup
Название: Advances in Complex Analysis and Operator Theory
ISBN: 3319623613 ISBN-13(EAN): 9783319623610
Издательство: Springer
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Описание: Classes of de Branges matrices and corresponding de Branges spaces.- Divided differences and two-sided polynomial interpolation over quaternions.- Fischer Decomposition in generalized fractional Clifford Analysis.- Free Products of C*-Probability Spaces from p-Adic Hecke Algebras.- An introduction to fractional powers of quaternionic operators and new fractional diffusion processes.- Finite-dimensional self-adjoint extensions of a symmetric operator with finite defect and their compressions.- On the structure of Hausdorff moment sequences of complex matrices.- On some extremal problems for analytic functions with constraints on real or imaginary parts.- A Burns-Krantz type theorem for pseudo-contractive mappings.- Spectral Convergence of Large Block-Hankel Gaussian Random Matrices.- Bernstein type Inequalities for Bicomplex Polynomials.- Finite unions of intervals, Part I.- Directing functionals and de Branges space completions in almost Pontryagin spaces.

Автор: Alexandre Almeida; Lu?s Castro; Frank-Olme Speck
Название: Advances in Harmonic Analysis and Operator Theory
ISBN: 3034807937 ISBN-13(EAN): 9783034807937
Издательство: Springer
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Описание: 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.

Автор: Roland Duduchava; Marinus A. Kaashoek; Nikolai Vas
Название: Operator Theory in Different Settings and Related Applications
ISBN: 3319625268 ISBN-13(EAN): 9783319625263
Издательство: Springer
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Описание:

This book provides a selection of reports and survey articles on the latest research in the area of single and multivariable operator theory and related fields. The latter include singular integral equations, ordinary and partial differential equations, complex analysis, numerical linear algebra, and real algebraic geometry - all of which were among the topics presented at the 26th International Workshop in Operator Theory and its Applications, held in Tbilisi, Georgia, in the summer of 2015.

Moreover, the volume includes three special commemorative articles. One of them is dedicated to the memory of Leiba Rodman, another to Murray Marshall, and a third to Boris Khvedelidze, an outstanding Georgian mathematician and one of the founding fathers of the theory of singular integral equations.

The book will be of interest to a broad range of mathematicians, from graduate students to researchers, whose primary interests lie in operator theory, complex analysis and applications, as well as specialists in mathematical physics.

Автор: Harry Dym; Marinus A. Kaashoek; Peter Lancaster; H
Название: A Panorama of Modern Operator Theory and Related Topics
ISBN: 3034807899 ISBN-13(EAN): 9783034807890
Издательство: Springer
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Описание: Included are contributions to single and multivariable operator theory, commutative and non-commutative Banach algebra theory, the theory of matrix polynomials and analytic vector-valued functions, several variable complex function theory, and the theory of structured matrices and operators.

Автор: Eisner Tanja
Название: Operator Theoretic Aspects of Ergodic Theory
ISBN: 3319168975 ISBN-13(EAN): 9783319168975
Издательство: Springer
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Цена: 9781.00 р.
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Описание: Stunning recent results by Host-Kra, Green-Tao, and others, highlight the timeliness of this systematic introduction to classical ergodic theory using the tools of operator theory. Assuming no prior exposure to ergodic theory, this book provides a modern foundation for introductory courses on ergodic theory, especially for students or researchers with an interest in functional analysis. While basic analytic notions and results are reviewed in several appendices, more advanced operator theoretic topics are developed in detail, even beyond their immediate connection with ergodic theory. As a consequence, the book is also suitable for advanced or special-topic courses on functional analysis with applications to ergodic theory.
Topics include:
- an intuitive introduction to ergodic theory
- an introduction to the basic notions, constructions, and standard examples of topological dynamical systems
- Koopman operators, Banach lattices, lattice and algebra homomorphisms, and the Gelfand-Naimark theorem
- measure-preserving dynamical systems
- von Neumann's Mean Ergodic Theorem and Birkhoff's Pointwise Ergodic Theorem
- strongly and weakly mixing systems
- an examination of notions of isomorphism for measure-preserving systems
- Markov operators, and the related concept of a factor of a measure preserving system
- compact groups and semigroups, and a powerful tool in their study, the Jacobs-de Leeuw-Glicksberg decomposition
- an introduction to the spectral theory of dynamical systems, the theorems of Furstenberg and Weiss on multiple recurrence, and applications of dynamical systems to combinatorics (theorems of van der Waerden, Gallai, and Hindman, Furstenberg's Correspondence Principle, theorems of Roth and Furstenberg-S rk zy)
Beyond its use in the classroom, Operator Theoretic Aspects of Ergodic Theory can serve as a valuable foundation for doing research at the intersection of ergodic theory and operator theory

Автор: Saadati, Reza
Название: Random Operator Theory
ISBN: 0128053461 ISBN-13(EAN): 9780128053461
Издательство: Elsevier Science
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Random Operator Theory provides a comprehensive discussion of the random norm of random bounded linear operators, also providing important random norms as random norms of differentiation operators and integral operators. After providing the basic definition of random norm of random bounded linear operators, the book then delves into the study of random operator theory, with final sections discussing the concept of random Banach algebras and its applications.

Автор: Karlheinz Gr?chenig; Yurii Lyubarskii; Kristian Se
Название: Operator-Related Function Theory and Time-Frequency Analysis
ISBN: 3319085565 ISBN-13(EAN): 9783319085562
Издательство: Springer
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Цена: 18167.00 р.
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Описание: The Symposium, and this book, are focused on two important fields of modern mathematical analysis: operator-related function theory and time-frequency analysis;

Автор: Karlheinz Gr?chenig; Yurii Lyubarskii; Kristian Se
Название: Operator-Related Function Theory and Time-Frequency Analysis
ISBN: 3319354051 ISBN-13(EAN): 9783319354057
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The Symposium, and this book, are focused on two important fields of modern mathematical analysis: operator-related function theory and time-frequency analysis;