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# ðŸ“™ Handbook of the Geometry of Banach Spaces: Vol. 2 by Johnson W.B. (ed.), Lindenstrauss J. (ed.) â€” pdf free

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The Handbook presents an overview of most aspects of modernBanach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory, and partial differential equations.The Handbook begins with a chapter on basic concepts in Banachspace theory which contains all the background needed for reading any other chapter in the Handbook. Each of the twenty one articles in this volume after the basic concepts chapter is devoted to one specific direction of Banach space theory or its applications. Each article contains a motivated introduction as well as an exposition of the main results, methods, and open problems in its specific direction. Most have an extensive bibliography. Many articles contain new proofs of known results as well as expositions of proofs which are hard to locate in the literature or are only outlined in the original research papers.As well as being valuable to experienced researchers in Banach space theory, the Handbook should be an outstanding source for inspiration and information to graduate students and beginning researchers. The Handbook will be useful for mathematicians who want to get an idea of the various developments in Banach space theory.

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- Author:
**Johnson W.B. (ed.), Lindenstrauss J. (ed.)** - Year:
**2003** - Language:
**English** - ISBN:

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**43 029 286** - Format:
**pdf**

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The Handbook presents an overview of most aspects of modern Banach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the...

Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry. Using harmonic analysis as a starting platform, classical inequalities and special functions are used to study orthonormal syst...

This volume deals with problems in the structure theory of separable infinite-dimensional Banach spaces, with a central focus on universality problems. This topic goes back to the beginnings of the field and appears in Banach's classical monograph. The no...

This monograph presents the state of the art of convexity, with an emphasis to integral representation. The exposition is focused on ChoquetÃ‚Â´s theory of function spaces with a link to compact convex sets. An important feature of the book is an interplay ...

This volume deals with problems in the structure theory of separable infinite-dimensional Banach spaces, with a central focus on universality problems. This topic goes back to the beginnings of the field and appears in Banach's classical monograph. The no...

This monograph presents the state of the art of convexity, with an emphasis to integral representation. The exposition is focused on Choquet??s theory of function spaces with a link to compact convex sets. An important feature of the book is an interplay ...

Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach s...

This monograph presents the state of the art of convexity, with an emphasis to integral representation. The exposition is focused on ChoquetÂ´s theory of function spaces with a link to compact convex sets. An important feature of the book is an interplay b...

In this Tract, Dr Ruston presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind. Much of the presentation is based on research carried out over the last twenty-five years and has never appeared in...

This book is about writing software that makes the most effective use of the system you're running on â€” code that interfaces directly with the kernel and core system libraries, including the shell, text editor, compiler, debugger, core utilities, and syst...

Contents: Preface; Introduction; How to look at family photographs: practices, objects, subjects and places; What is done with family snaps?; What happens with this doing? Family, domestic space and mothering; The circulation of family photographs in the...

As current research rethinks the relationship between photography and anthropology, this volume will serve as a stimulus to this new phase of research as an essential text and methodological reference point in any course that addresses the relationship ...

Introduction - Angela Creese and Constant Leung Communicative Language Teaching and EAL: Principles and Interpretations - Constant Leung Mainstream Participatory Approaches: From Slipstream to Mainstream - Frank Monaghan Beyond Key Words - Manny Vazquez ...