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Operator-Related Function Theory and Time-Frequency Analysis
This book collects the proceedings of the 2012 Abel Symposium, held at the Norwegian Academy of Science and Letters, Oslo. The Symposium, and this book, are focused on two important fields of modern mathematical analysis: operator-related function theory and time-frequency analysis; and the profound interplay between them. Among the original contributions and overview lectures gathered here …
- Edition
- 1
- ISBN/ISSN
- 2193-2808
- Collation
- XII, 195
- Series Title
- Abel Symposia
- 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…
- Edition
- -
- ISBN/ISSN
- 0255-0156
- Collation
- IX, 496
- Series Title
- Operator Theory: Advances and Applications
- Call Number
- -
Operator Algebras and Applications:The Abel Symposium 2015
Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras. It is interesting to see the remarkable advances that have been made in operator algebras over these years, which strikingly illustrate the vitality of the field. A total of 26 talks were given at the symposium on a variety of themes, all highlighting the richness of the subject.The field of opera…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-39284-4
- Collation
- X, 348
- Series Title
- Abel Symposia
- Call Number
- -
The Scottish Book Mathematics from The Scottish Café, with Selected Problem…
The second edition of this book updates and expands upon a historically important collection of mathematical problems first published in the United States by Birkhäuser in 1981. These problems serve as a record of the informal discussions held by a group of mathematicians at the Scottish Café in Lwów, Poland, between the two world wars. Many of them were leaders in the development of such ar…
- Edition
- -
- ISBN/ISSN
- 978-3-319-22897-6
- Collation
- -
- Series Title
- -
- Call Number
- -
Open Problems in the Geometry and Analysis of Banach Spaces
This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-33571-1
- Collation
- XII, 169
- Series Title
- -
- 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…
- Edition
- -
- ISBN/ISSN
- 978-3-319-14051-3
- Collation
- X, 245 hlm.
- Series Title
- -
- Call Number
- -
Fixed Point Theory in Metric Type Spaces
The text is structured so that it leads the reader from preliminaries and historical notes on metric spaces (in particular G-metric spaces) and on mappings, to Banach type contraction theorems in metric type spaces, fixed point theory in partially ordered G-metric spaces, fixed point theory for expansive mappings in metric type spaces, generalizations, present results and techniques in a very g…
- Edition
- -
- ISBN/ISSN
- 978-3-319-24082-4
- Collation
- XVII, 385 hlm.
- Series Title
- -
- Call Number
- -
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