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Banach Spaces of Analytic Functions

theory. Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic functions in the unit disc.The author;

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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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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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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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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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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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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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Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)

of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets in Banach spaces, it provides a;

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Harmonic Analysis

Lebesgue integral, the elementary theory of analytic and harmonic functions, and the basic theory of Banach spaces. The treatment is classical and;

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Elements of Geometry of Balls in Banach Spaces

One of the subjects of functional analysis is classification of Banach spaces depending on various properties of the unit ball. The need;

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Functional Analysis

allows grasping the main ideas more rapidly. Other important Banach spaces arising from function spaces and sequence spaces are also treated.In;

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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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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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Complex Analysis

analytic characterization of simply connected domains. The second part is concerned with functional analytic methods: Frechet and Hilbert spaces;

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Extended Abstracts Fall 2019: Spaces of Analytic Functions

This book collects the abstracts of the mini-courses and lectures given during the Intensive Research Program Spaces of Analytic;

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Linear and Multilinear Algebra and Function Spaces

of holomorphic or harmonic functions, including biduality in weighted spaces of analytic functions, interpolation in the analytic Wiener algebra, and;

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Frechet Differentiability Of Lipschitz Functions And Porous

of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets in Banach spaces, it provides a;

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Complex Potential Theory

. Banach algebras and infinite dimensional holomorphy - analytic multifunctions, spectral theory, analytic functions on a Banach space, semigroups;

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Functional Analysis

allows grasping the main ideas more rapidly. Other important Banach spaces arising from function spaces and sequence spaces are also treated.;

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Functional Analysis

allows grasping the main ideas more rapidly. Other important Banach spaces arising from function spaces and sequence spaces are also treated.;

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Lineability

families of holomorphic (or analytic) functions defined on some domain of the complex plane. It next focuses on spaces of sequences and spaces;

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Lineability

families of holomorphic (or analytic) functions defined on some domain of the complex plane. It next focuses on spaces of sequences and spaces;

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Geometry of Müntz Spaces and Related Questions

in these spaces. Moreover they state many open problems. Although the viewpoint is that of the geometry of Banach spaces they only assume that the;

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Non-Archimedean Linear Operators & Applications

-Archimedean Banach and Hilbert spaces. This includes, non-archimedean valued fields, bounded and unbounded linear operators, bilinear forms, functions;

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