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Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and …
This is a monograph covering topological fixed point theory for several classes of single and multivalued maps. The authors begin by presenting basic notions in locally convex topological vector spaces. Special attention is then devoted to weak compactness, in particular to the theorems of Eberlein–Šmulian, Grothendick and Dunford–Pettis. Leray–Schauder alternatives and eigenvalue proble…
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- -
- ISBN/ISSN
- 978-3-319-31948-3
- Collation
- -
- Series Title
- -
- Call Number
- -
Topics in Banach Space Theory
This text provides the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems. The two new chapters in this second edition are devoted to two topics of much current interest amongst functional analysts: Greedy appr…
- Edition
- -
- ISBN/ISSN
- 978-3-319-31557-7
- Collation
- -
- Series Title
- -
- Call Number
- -
Applied Analysis in Biological and Physical Sciences: ICMBAA, Aligarh, India,…
The book contains recent developments and contemporary research in mathematical analysis and in its application to problems arising from the biological and physical sciences. The book is of interest to readers who wish to learn of new research in such topics as linear and nonlinear analysis, mathematical biology and ecology, dynamical systems, graph theory, variational analysis and inequalities…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-81-322-3640-5
- Collation
- XVII, 438
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Call Number
- 518 APP a
Theory of Reproducing Kernels and Applications
This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications. In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations amo…
- Edition
- -
- ISBN/ISSN
- 978-981-10-0530-5
- Collation
- -
- Series Title
- -
- Call Number
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Theory of Distributions
This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. Thi…
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- ISBN/ISSN
- 978-3-319-19527-8
- Collation
- -
- Series Title
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- Call Number
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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
- -
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