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Banach Algebras of Ultrametric Functions, Alain Escassut


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Автор: Alain Escassut
Название:  Banach Algebras of Ultrametric Functions
ISBN: 9789811251658
Издательство: World Scientific Publishing
Издательство: World Scientific Publishing Company
Классификация:
ISBN-10: 9811251657
Обложка/Формат: Hardback
Страницы: 324
Вес: 0.72 кг.
Дата издания: 04.05.2022
Серия: Mathematics
Язык: English
Размер: 22.86 x 15.24 x 1.75 cm
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Algebra, MATHEMATICS / Algebra / Abstract,MATHEMATICS / Functional Analysis,MATHEMATICS / Geometry / General
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Поставляется из: США
Описание: This book examines ultrametric Banach algebras in general. It begins with algebras of continuous functions, and looks for maximal and prime ideals in connections with ultrafilters on the set of definition. The multiplicative spectrum has shown to be indispensable in ultrametric analysis and is described in the general context and then, in various cases of Banach algebras.Applications are made to various kind of functions: uniformly continuous functions, Lipschitz functions, strictly differentiable functions, defined in a metric space. Analytic elements in an algebraically closed complete field (due to M Krasner) are recalled with most of their properties linked to T-filters and applications to their Banach algebras, and to the ultrametric holomorphic functional calculus, with applications to spectral properties. The multiplicative semi-norms of Krasner algebras are characterized by circular filters with a metric and an order that are examined.The definition of the theory of affinoid algebras due to J Tate is recalled with all the main algebraic properties (including Krasner-Tate algebras). The existence of idempotents associated to connected components of the multiplicative spectrum is described.


Banach Spaces of Continuous Functions as Dual Spaces

Автор: Dales
Название: Banach Spaces of Continuous Functions as Dual Spaces
ISBN: 3319323474 ISBN-13(EAN): 9783319323473
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Thisbook gives a coherent account of the theory of Banach spaces and Banachlattices, using the spaces C_0(K) of continuous functions on a locallycompact space K as the main example. The study of C_0(K) has beenan important area of functional analysis for many years. It gives severalnew constructions, some involving Boolean rings, of this space as well as many results on theStonean space of Boolean rings. The book also discusses when Banach spaces of continuous functions aredual spaces and when they are bidual spaces.

Stochastic processes in non-archimedean banach spaces, manifolds & topological groups

Название: Stochastic processes in non-archimedean banach spaces, manifolds & topological groups
ISBN: 1616687878 ISBN-13(EAN): 9781616687878
Издательство: Nova Science
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Цена: 39282.00 р.
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Описание: Banach spaces may be finite and infinite dimensional over a field and manifolds are modelled on Banach spaces. This title reviews research in stochastic processes with values in Banach spaces, manifolds and topological groups.

Fractional Inequalities In Banach Algebras

Автор: Anastassiou
Название: Fractional Inequalities In Banach Algebras
ISBN: 3031051475 ISBN-13(EAN): 9783031051470
Издательство: Springer
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Цена: 22359.00 р.
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Описание: This book presents generalized Caputo fractional Ostrowski and Gr?ss-type inequalities involving several Banach algebra valued functions. Furthermore, the author gives generalized Canavati fractional Ostrowski, Opial, Gr?ss, and Hilbert-Pachpatte-type inequalities for multiple Banach algebra valued functions. By applying the p-Schatten norms over the von Neumann–Schatten classes, the author produces the analogous refined and interesting inequalities. The author provides many applications. This book’s results are expected to find applications in many areas of pure and applied mathematics, especially in fractional inequalities and fractional differential equations. Other interesting applications are in applied sciences like geophysics, physics, chemistry, economics, and engineering. This book is appropriate for researchers, graduate students, practitioners, and seminars of the above disciplines, also to be in all science and engineering libraries.

Banach Algebras with Symbol and Singular Integral Operators

Автор: N. Krupnik
Название: Banach Algebras with Symbol and Singular Integral Operators
ISBN: 303485465X ISBN-13(EAN): 9783034854658
Издательство: Springer
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Цена: 11179.00 р.
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Описание: Using this the- ory, criteria were obtained for Fredholmness of one-dimensional singular integral operators with continuous coefficients [34 (42)], Wiener-Hopf operators [37], and multidimensional singular integral operators [38 (2)].

Spectral Theory of Linear Operators

Автор: Vladimir M?ller
Название: Spectral Theory of Linear Operators
ISBN: 3764382643 ISBN-13(EAN): 9783764382643
Издательство: Springer
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Цена: 19564.00 р.
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Описание: Presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. This book contains results, in particular, concerning orbits and their relations to the invariant subspace problem. It is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras.

Understanding Banach Spaces

Автор: Daniel GonzA lez SA nchez
Название: Understanding Banach Spaces
ISBN: 1536167452 ISBN-13(EAN): 9781536167450
Издательство: Nova Science
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Цена: 37856.00 р.
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Описание: This book focuses on the study of several properties of Banach spaces applied to diverse problems in functional and numerical analysis. Many problems in science, engineering and other disciplines can be expressed in the form of equations, inequalities or systems of equations using mathematical modelling. In particular, a large number of these problems can be solved using these spaces. A great multitude of examples showing the theoretical application developed appears throughout the work. Researchers and practitioners will find this book very useful as a source book, utilize its methods and also use it as a classroom text for a senior undergraduate or graduate course. It is certainly an excellent must read book.

Homological Methods in Banach Space Theory

Автор: Felix Cabello Sanchez, Jesus M. F. Castillo
Название: Homological Methods in Banach Space Theory
ISBN: 1108478581 ISBN-13(EAN): 9781108478588
Издательство: Cambridge Academ
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Цена: 11563.00 р.
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Описание: Many researchers in geometric functional analysis are unaware of algebraic aspects of the subject and the advances they have permitted in the last half century. This book, written by two world experts on homological methods in Banach space theory, gives functional analysts a new perspective on their field and new tools to tackle its problems. All techniques and constructions from homological algebra and category theory are introduced from scratch and illustrated with concrete examples at varying levels of sophistication. These techniques are then used to present both important classical results and powerful advances from recent years. Finally, the authors apply them to solve many old and new problems in the theory of (quasi-) Banach spaces and outline new lines of research. Containing a lot of material unavailable elsewhere in the literature, this book is the definitive resource for functional analysts who want to know what homological algebra can do for them.

Introduction to the Theory of Banach Representations of Groups

Автор: Yurii I. Lyubich
Название: Introduction to the Theory of Banach Representations of Groups
ISBN: 3764322071 ISBN-13(EAN): 9783764322076
Издательство: Springer
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Цена: 11173.00 р.
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Описание: The theory of group representations plays an important roie in modern mathematics and its applica~ions to natural sciences.


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