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Spectral Theory of Operator Pencils, Hermite-Biehler Functions, and their App…
The theoretical part of this monograph examines the distribution of the spectrum of operator polynomials, focusing on quadratic operator polynomials with discrete spectra. The second part is devoted to applications. Standard spectral problems in Hilbert spaces are of the form A-λI for an operator A, and self-adjoint operators are of particular interest and importance, both theoretically and in…
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- ISBN/ISSN
- 978-3-319-17070-1
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- -
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Approximation by Max-Product Type Operators
This monograph presents a broad treatment of developments in an area of constructive approximation involving the so-called "max-product" type operators. The exposition highlights the max-product operators as those which allow one to obtain, in many cases, more valuable estimates than those obtained by classical approaches. The text considers a wide variety of operators which are studied for a n…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-34189-7
- Collation
- XV, 458
- Series Title
- -
- Call Number
- 004. BED a
Boundary Value Problems, Weyl Functions, and Differential Operators
This open access book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions. It includes self-contained treatments of the extension theory of symmetric operators and relations, spectral characterizations of selfadjoint operators in terms of the analytic properties of Weyl functions, …
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Operator Theory, Function Spaces, and Applications
This volume collects a selected number of papers presented at the International Workshop on Operator Theory and its Applications (IWOTA) held in July 2014 at Vrije Universiteit in Amsterdam. Main developments in the broad area of operator theory are covered, with special emphasis on applications to science and engineering. The volume also presents papers dedicated to the eightieth birthday of D…
- Edition
- 1
- ISBN/ISSN
- 0255-0156
- Collation
- VIII, 233
- Series Title
- Operator Theory: Advances and Applications
- Call Number
- -
Operator Theory
A one-sentence definition of operator theory could be: The study of (linear) continuous operations between topological vector spaces, these being in general (but not exclusively) Fréchet, Banach, or Hilbert spaces (or their duals). Operator theory is thus a very wide field, with numerous facets, both applied and theoretical. There are deep connections with complex analysis, functional analysis…
- Edition
- 1
- ISBN/ISSN
- 978-3-0348-0666-4
- Collation
- XIX, 1860
- Series Title
- -
- Call Number
- -
Operator Theoretic Aspects of Ergodic Theory
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. Whi…
- Edition
- 1
- ISBN/ISSN
- 0072-5285
- Collation
- XVIII, 628
- Series Title
- XVIII, 628
- Call Number
- -
Operators on Hilbert Space
The primarily objective of the book is to serve as a primer on the theory of bounded linear operators on separable Hilbert space. The book presents the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus. It discusses a proof without digressing into a course on the Gelfand theory of commutative Banach algebras. The book also introduces the …
- Edition
- 1
- ISBN/ISSN
- 2366-8717
- Collation
- XI, 100
- Series Title
- Texts and Readings in Mathematics
- Call Number
- -
Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical…
This proceedings volume originates from a conference held in Herrnhut in June 2013. It provides unique insights into the power of abstract methods and techniques in dealing successfully with numerous applications stemming from classical analysis and mathematical physics. The book features diverse topics in the area of operator semigroups, including partial differential equations, martingale and…
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- -
- ISBN/ISSN
- 0255-0156
- Collation
- IX, 496
- Series Title
- Operator Theory: Advances and Applications
- Call Number
- -
Fixed Point Theory in Modular Function Spaces
This monograph provides a concise introduction to the main results and methods of the fixed point theory in modular function spaces. Modular function spaces are natural generalizations of both function and sequence variants of many important spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, Calderon-Lozanovskii spaces, and others. In most cases, particularly in application…
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- -
- ISBN/ISSN
- 978-3-319-14051-3
- Collation
- X, 245 hlm.
- Series Title
- -
- Call Number
- -
Nonstandard Analysis for the Working Mathematician
Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. Nonstandard analysis is now a well-developed, powerful instrument for solving open problems in almost all disciplines of mathematics; it is often used as a ‘secret weapon’ by those who know the technique. This book illuminates th…
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- 1
- ISBN/ISSN
- 978-94-017-7326-3
- Collation
- XV, 481
- Series Title
- -
- Call Number
- -
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