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Summing and Nuclear Norms in Banach Space Theory

author's aim is to show the reader how the tools of analysis can be used in number theory to attack a 'real' problem, and it is based on his own;

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Aspects of (p, q)

Summing multipliers is an important class of operators in the geometric theory of general Banach spaces. They are particularly useful;

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Handbook of the Geometry of Banach Spaces

Presenting an overview of most aspects of modern Banach space theory and its applications, this handbook offers up-to-date surveys by a;

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Methods In Banach Space Theory

This book presents an overview of modern Banach space theory. It contains sixteen papers that reflect the wide expanse of the subject;

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Banach Spaces and their Applications in Analysis

including connections with combinatorics and set theory, algebraic and homological methods in Banach spaces, approximation theory and algorithms;

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Short Course On Banach Space Theory

This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course;

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The James Forest

The James space J and the James tree space JT were constructed as counterexamples to several outstanding conjectures in Banach space theory;

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Banach Spaces for Analysts

in Banach space theory, so the prerequisites are a background in functional, complex and real analysis. As the only introduction to the modern;

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Introduction to Various Aspects of Degree Theory in Banach Spaces

Since its development by Leray and Schauder in the 1930's, degree theory in Banach spaces has proved to be an important tool in tackling;

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The Volume of Convex Bodies and Banach Space Geometry

sets, probability theory, approximation theory and the local theory of Banach spaces. The book is in two parts. The first presents self;

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London Mathematical Society Lecture Note Series

most of the leading figures in the area, and is intended to illustrate the interplay of Banach space theory with harmonic analysis, probability;

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The Adjoint of a Semigroup of Linear Operators

is accessible to anyone with basic knowledge of semi- group theory and Banach space theory. Most of the results are proved in detail. The book;

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Spectral Theory of Bounded Linear Operators

normal operators acting on Hilbert spaces; (ii) the Riesz-Dunford functional calculus for Banach-space operators; and (iii) the Fredholm theory;

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Spectral Theory of Bounded Linear Operators

normal operators acting on Hilbert spaces; (ii) the Riesz-Dunford functional calculus for Banach-space operators; and (iii) the Fredholm theory;

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Calkin Algebras and Algebras of Operators on Banach SPates

Since the appearance of Banach algebra theory, the interaction between the theories ofBanach algebras with involution and that of bounded;

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Banach Spaces of Continuous Functions as Dual Spaces

This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a;

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Isometries in Banach Spaces

A continuation of the authors' previous book, Isometries on Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two;

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London Mathematical Society Student Texts

This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course;

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Encyclopedia of Mathematics and its Applications

research. This book should be accessible to graduate students and researchers with some basic knowledge of Banach space theory, real analysis;

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Encyclopedia of Mathematics and its Applications

research. This book should be accessible to graduate students and researchers with some basic knowledge of Banach space theory, real analysis;

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Introduction To Operator Space Theory

The theory of operator spaces is very recent and can be described as a non-commutative Banach space theory. An 'operator space' is simply a;

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Random Operator Theory

Banach algebras and its applications.;

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Isometries on Banach Spaces

in the field and for those who simply want to acquaint themselves with this area of Banach space theory.;

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Isometries on Banach Spaces

in the field and for those who simply want to acquaint themselves with this area of Banach space theory.;

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London Mathematical Society Lecture Note Series

discussing the convergence theory of martingales and sub-( or super-) martingales with values in a Banach space with or without the Radon-Nikodym;

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Descriptive Topology and Functional Analysis II

mathematical research. Covering topics in descriptive topology and functional analysis, including topological groups and Banach space theory, fuzzy;

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Probability in Banach Spaces

random process techniques (entropy and majorizing measures). Examples of these probabilistic tools and ideas to classical Banach space theory are;

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