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Books in Functional analysis

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21-30 of 62 results in All results

Nine Introductions in Complex Analysis - Revised Edition

  • 1st Edition
  • Volume 208
  • September 6, 2007
  • Sanford L. Segal
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 5 0 7 6 - 3
The book addresses many topics not usually in "second course in complex analysis" texts. It also contains multiple proofs of several central results, and it has a minor historical perspective.

Infinite Dimensional Linear Control Systems

  • 1st Edition
  • Volume 201
  • July 12, 2005
  • H.O. Fattorini
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 4 5 7 3 4 - 5
For more than forty years, the equation y’(t) = Ay(t) + u(t) in Banach spaces has been used as model for optimal control processes described by partial differential equations, in particular heat and diffusion processes. Many of the outstanding open problems, however, have remained open until recently, and some have never been solved. This book is a survey of all results know to the author, with emphasis on very recent results (1999 to date).The book is restricted to linear equations and two particular problems (the time optimal problem, the norm optimal problem) which results in a more focused and concrete treatment. As experience shows, results on linear equations are the basis for the treatment of their semilinear counterparts, and techniques for the time and norm optimal problems can often be generalized to more general cost functionals.The main object of this book is to be a state-of-the-art monograph on the theory of the time and norm optimal controls for y’(t) = Ay(t) + u(t) that ends at the very latest frontier of research, with open problems and indications for future research.Key features:· Applications to optimal diffusion processes.· Applications to optimal heat propagation processes.· Modelling of optimal processes governed by partial differential equations.· Complete bibliography.· Includes the latest research on the subject.· Does not assume anything from the reader except basic functional analysis.· Accessible to researchers and advanced graduate students alike

Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms

  • 1st Edition
  • March 25, 2005
  • Erich Peter Klement + 1 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 4 5 9 5 3 - 0
This volume gives a state of the art of triangular norms which can be used for the generalization of several mathematical concepts, such as conjunction, metric, measure, etc. 16 chapters written by leading experts provide a state of the art overview of theory and applications of triangular norms and related operators in fuzzy logic, measure theory, probability theory, and probabilistic metric spaces.Key Features:- Complete state of the art of the importance of triangular norms in various mathematical fields- 16 self-contained chapters with extensive bibliographies cover both the theoretical background and many applications- Chapter authors are leading authorities in their fields- Triangular norms on different domains (including discrete, partially ordered) are described- Not only triangular norms but also related operators (aggregation operators, copulas) are covered- Book contains many enlightening illustrations

Applications of Functional Analysis and Operator Theory

  • 2nd Edition
  • Volume 200
  • February 8, 2005
  • V. Hutson + 2 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 2 7 3 1 - 4
Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations. The present book provides, by careful selection of material, a collection of concepts and techniques essential for the modern practitioner. Emphasis is placed on the solution of equations (including nonlinear and partial differential equations). The assumed background is limited to elementary real variable theory and finite-dimensional vector spaces.

Functional Equations in Applied Sciences

  • 1st Edition
  • Volume 199
  • November 4, 2004
  • Enrique Castillo + 2 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 4 7 7 9 1 - 6
The book provides the reader with the different types of functional equations that s/he can find in practice, showing, step by step, how they can be solved.A general methodology for solving functional equations is provided in Chapter 2. The different types of functional equations are described and solved in Chapters 3 to 8. Many examples, coming from different fields, as geometry, science, engineering, economics, probability, statistics, etc, help the reader to change his/her mind in order to state problems as functional equations as an alternative to differential equations, and to state new problems in terms of functional equations or systems.An interesting feature of the book is that it deals with functional networks, a powerful generalization of neural networks that allows solving many practical problems. The second part of the book, Chapters 9 to 13, is devoted to the applications of this important paradigm.The book contains many examples and end of chapter exercises, that facilitates the understanding of the concepts and applications.

Functional Analysis and its Applications

  • 1st Edition
  • Volume 197
  • July 30, 2004
  • Vladimir Kadets + 1 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 4 7 2 8 0 - 5
The conference took place in Lviv, Ukraine and was dedicated to a famous Polish mathematician Stefan Banach ƒ{ the most outstanding representative of the Lviv mathematical school. Banach spaces, introduced by Stefan Banach at the beginning of twentieth century, are familiar now to every mathematician. The book contains a short historical article and scientific contributions of the conference participants, mostly in the areas of functional analysis, general topology, operator theory and related topics.

Sobolev Spaces

  • 2nd Edition
  • Volume 140
  • June 26, 2003
  • Robert A. Adams + 1 more
  • English
  • Hardback
    9 7 8 - 0 - 1 2 - 0 4 4 1 4 3 - 3
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 4 1 2 9 - 7
Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding characteristics of these spaces. This theory is widely used in pure and Applied Mathematics and in the Physical Sciences. This second edition of Adam's 'classic' reference text contains many additions and much modernizing and refining of material. The basic premise of the book remains unchanged: Sobolev Spaces is intended to provide a solid foundation in these spaces for graduate students and researchers alike.

Recent Progress in Functional Analysis

  • 1st Edition
  • Volume 189
  • September 20, 2001
  • K.D. Bierstedt + 3 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 1 5 9 2 - 2
This Proceedings Volume contains 32 articles on various interesting areas ofpresent-day functional analysis and its applications: Banach spaces andtheir geometry, operator ideals, Banach and operator algebras, operator andspectral theory, Frechet spaces and algebras, function and sequence spaces.The authors have taken much care with their articles and many papers presentimportant results and methods in active fields of research. Several surveytype articles (at the beginning and the end of the book) will be very usefulfor mathematicians who want to learn "what is going on" in some particularfield of research.

General Theory of C*-Algebras

  • 1st Edition
  • Volume 3
  • July 11, 2001
  • Corneliu Constantinescu
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 2 8 3 4 - 2

Hilbert Spaces

  • 1st Edition
  • Volume 4
  • July 11, 2001
  • Corneliu Constantinescu
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 2 8 3 5 - 9
This book has evolved from the lecture course on Functional Analysis I had given several times at the ETH. The text has a strict logical order, in the style of “Definition – Theorem – Proof - Example - Exercises”. The proofs are rather thorough and there many examples. The first part of the book(the first three chapters, resp. the first two volumes) is devoted to the theory of Banach spaces in the most general sense of the term. The purpose of the first chapter (resp. first volume) is to introduce those results on Banach spaces which are used later or which are closely connected with the book. It therefore only contains a small part of the theory, and several results are stated (and proved) in a diluted form. The second chapter (which together with Chapter 3 makes the second volume) deals with Banach algebras (and involutive Banach algebras), which constitute the main topic of the first part of the book. The third chapter deals with compact operators on Banach spaces and linear (ordinary and partial) differential equations - applications of the, theory of Banach algebras.