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Notes in Banach Spaces

These lectures in functional analysis cover several aspects of Banach spaces, a conceptualization of complete normed linear spaces;

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Topological Vector Spaces

With many new concrete examples and historical notes, Topological Vector Spaces, Second Edition provides one of the most thorough and up-to;

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Geometry and Martingales in Banach Spaces

Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the;

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Geometry and Martingales in Banach Spaces

Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the;

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A First Course in Functional Analysis

theoretic preliminaries, normed linear spaces and algebras, functions on Banach spaces, homomorphisms on normed linear spaces, and analytic;

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Stochastic Processes in Non-Archimedean Banach Spaces, Manifolds & Topological Groups

Banach spaces may be finite and infinite dimensional over a field and manifolds are modelled on Banach spaces. This book reviews research;

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Martingales in Banach Spaces

This book focuses on the major applications of martingales to the geometry of Banach spaces, and a substantial discussion of harmonic;

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Banach Spaces and their Applications in Analysis

of Banach space methods. Indeed, many problems seemingly far from the classical geometry of Banach spaces have been solved using Banach space;

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Function Spaces

is designed to cover a wide range of topics, including spaces of analytic functions, isometries of function spaces, geometry of Banach spaces, and;

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Analytic Function Spaces

The core of this book are Banach spaces of analytic functions on the unit disk. Not only do we study how operators like composition;

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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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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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Sequence Spaces and Nonarchimedean Analysis

nonarchimedean analysis. The topics covered include absolute and strong almost convergence, duality in sequence spaces, functional Banach limits, matrix;

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Probability in Banach Spaces

spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit;

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A First Course in Functional Analysis

A First Course in Functional Analysis lucidly covers Banach spaces, continuous linear functionals, the basic theorems of bounded linear;

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Fixed Points of Nonlinear Operators

mappings, pseudo-contrations in Hilbert Spaces and in Banach Spaces. Iterative methods of zeros for accretive mappings in Banach Spaces and;

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Function Theory and $ell ^p$ Spaces

The classical $ell^{p}$ sequence spaces have been a mainstay in Banach spaces. This book reviews some of the foundational results in this;

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Spear Operators Between Banach Spaces

This monograph is devoted to the study of spear operators, that is, bounded linear operators G between Banach spaces X and Y satisfying;

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Isometries on Banach Spaces

Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the class of Banach spaces, this leads;

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Isometries on Banach Spaces

Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the class of Banach spaces, this leads;

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Banach Spaces for Analysts

isomorphisms of Banach spaces before proceeding to the more detailed study of particular spaces. The book is intended to be used with graduate courses;

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Generalized Mercer Kernels and Reproducing Kernel Banach Spaces

This article studies constructions of reproducing kernel Banach spaces (RKBSs) which may be viewed as a generalization of reproducing;

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Amenable Banach Algebras

, as are Banach spaces, Banach homological algebra, and more. By covering amenability's many applications, the author offers a simultaneously;

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Introduction to Banach Spaces

This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic;

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Modern Methods in Topological Vector Spaces

, distributions, summability, and classical Banach and Frechét spaces. Optional problems with hints and references introduce non-locally convex spaces;

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