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Locally Convex Spaces Over Non-Archimedean Valued Fields

. This book is the first to provide a comprehensive treatment of non-Archimedean locally convex spaces. The authors provide a clear exposition;

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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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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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Sequence Spaces and Summability over Valued Fields

Sequence spaces and summability over valued fields is a research book aimed at research scholars, graduate students and teachers with an;

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Advances in Ultrametric Analysis

algebras, G -modules with a convex base, non-compact Trace class operators and Schatten-class operators in p -adic Hilbert spaces, algebras;

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Multiplier Convergent Series

convex spaces and vector-valued measures. A number of versions of the Orlicz-Pettis theorem are derived for multiplier convergent series with;

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Quasi-Invariant & Pseduo-Differentiable Measures in Banach Spaces

century and is called the non-Archimedean norm. Such fields and vector spaces with non-Archimedean norms are frequently called for short non;

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Convex and Set-Valued Analysis

of convex cones in finite- and infinite-dimensional spaces are discussed. The second part covers some important parts of set-valued analysis. There;

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Motivic Integration And Its Interactions With Model Theory A

texts on the model theory of valued fields, different approaches to non-Archimedean geometry, and motivic integration on algebraic varieties and;

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Almost Periodic and Almost Automorphic Functions in Abstract Spaces

functions in locally and non-locally convex spaces and their applications in differential equations. Since the publication of Almost automorphic and;

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Almost Periodic and Almost Automorphic Functions in Abstract Spaces

functions in locally and non-locally convex spaces and their applications in differential equations. Since the publication of Almost automorphic and;

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Topological Vector Spaces and Their Applications

This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains;

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Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields

Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its;

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Advances in Non-Archimedean Analysis and Applications

uses probability measures with values in ordered non-Archimedean fields. Ultrametric spaces are also vital in classification and clustering;

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London Mathematical Society Lecture Note Series

This book presents a theory motivated by the spaces LP, 0 p < l. These spaces are not locally convex, so the methods usually encountered;

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Dynamics in One Non-Archimedean Variable

, dynamics in one non-archimedean variable is the analogous theory over non-archimedean fields rather than over the complex numbers. It is also an;

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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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Topological Algebras and their Applications

algebras Multipliers in some perfect locally m-pseudo-convex algebras Wedderburn structure theorems for two-sided locally m-convex H*-algebras;

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Locally Convex Quasi *-Algebras and Their Representations

This book offers a review of the theory of locally convex quasi *-algebras, authored by two of its contributors over the last 25 years;

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A Course on Topological Vector Spaces

This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses;

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Foundations Of Complex Analysis In Non

All the existing books in Infinite Dimensional Complex Analysis focus on the problems of locally convex spaces. However, the theory without;

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Berkovich Spaces and Applications

We present an introduction to Berkovich's theory of non-archimedean analytic spaces that emphasizes its applications in various fields. The;

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Thermosetting Polymers

Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its;

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Functional Analysis and Valuation Theory

This book presents functional analysis over arbitrary valued fields and investigates normed spaces and algebras over fields with valuation;

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Topological Vector Spaces

the Banach-Stone theorem as well as variations of the theorem. The book covers locally convex spaces; barreled, bornological, and webbed;

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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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Non-Archimedean Tame Topology and Stably Dominated Types (AM-192)

and uniformity statements and new structural tools. For non-archimedean fields, such as the p-adics, the Berkovich analytification provides a;

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