Download Full eBooks in PDF
Schauder Bases In Banach Spaces Of Continuous Functions Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Schauder Bases In Banach Spaces Of Continuous Functions book. This book definitely worth reading, it is an incredibly well-written.
Author : Z. Semadeni
Publisher : Springer
Page : 142 pages
File Size : 51,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540391432
Author : Zbigniew Semadeni
Publisher : Springer Verlag
Page : 135 pages
File Size : 47,9 Mb
Release : 1982
Category : Mathematics
ISBN : 0387114815
Author : Zbigniew Semadeni
Publisher : Unknown
Page : 594 pages
File Size : 41,9 Mb
Release : 1971
Category : Banach spaces
ISBN : UOM:39015049297099
Author : Sylvia Guerre-Delabriere
Publisher : CRC Press
Page : 234 pages
File Size : 50,7 Mb
Release : 1992-07-21
Category : Mathematics
ISBN : 0824787234
Author : Joram Lindenstrauss,Lior Tzafriri
Publisher : Springer
Page : 254 pages
File Size : 43,6 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540377320
Springer-Verlag began publishing books in higher mathematics in 1920, when the series Grundlehren der mathematischen Wissenschaften, initially conceived as a series of advanced textbooks, was founded by Richard Courant. A few years later a new series Ergebnisse der Mathematik und ihrer Grenzgebiete, survey reports of recent mathematical research, was added. Of over 400 books published in these series, many have become recognized classics and remain standard references for their subject. Springer is reissuing a selected few of these highly successful books in a new, inexpensive sofcover edition to make them easily accessible to younger generations of students and researchers.
Author : Marián Fabian,Petr Habala,Petr Hájek,Vicente Montesinos,Václav Zizler
Publisher : Springer Science & Business Media
Page : 820 pages
File Size : 50,9 Mb
Release : 2011-02-04
Category : Mathematics
ISBN : 9781441975157
Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book.
Author : J. Lindenstrauss,L. Tzafriri
Publisher : Springer Science & Business Media
Page : 202 pages
File Size : 52,6 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9783642665578
The appearance of Banach's book [8] in 1932 signified the beginning of a syste matic study of normed linear spaces, which have been the subject of continuous research ever since. In the sixties, and especially in the last decade, the research activity in this area grew considerably. As a result, Ban:ach space theory gained very much in depth as well as in scope: Most of its well known classical problems were solved, many interesting new directions were developed, and deep connections between Banach space theory and other areas of mathematics were established. The purpose of this book is to present the main results and current research directions in the geometry of Banach spaces, with an emphasis on the study of the structure of the classical Banach spaces, that is C(K) and Lip.) and related spaces. We did not attempt to write a comprehensive survey of Banach space theory, or even only of the theory of classical Banach spaces, since the amount of interesting results on the subject makes such a survey practically impossible.
Author : Ivan Singer
Publisher : Springer
Page : 688 pages
File Size : 52,5 Mb
Release : 1970
Category : Mathematics
ISBN : UCAL:B4405364
This monograph attempts to present the results known today on bases in Banach spaces and some unsolved problems concerning them. Although this important part of the theory of Banach spaces has been studied for more than forty years by numerous mathematicians, the existing books on functional analysis (e. g. M. M. Day [43], A. Wilansky [263], R. E. Edwards [54]) contain only a few results on bases. A survey of the theory of bases in Banach spaces, up to 1963, has been presented in the expository papers [241], [242] and [243], which contain no proofs; although in the meantime the theory has rapidly deve1oped, much of the present monograph is based on those expository papers. Independently, a useful bibliography of papers on bases, up to 1963, was compiled by B. L. Sanders [219J. Due to the vastness of the field, the monograph is divided into two volumes, ofwhich this is the first (see the tab1e of contents). Some results and problems re1ated to those treated herein have been de1iberately planned to be inc1uded in Volume 11, where they will appear in their natural framework (see [242], [243]).
Author : H. G. Dales,F.K. Dashiell, Jr.,A.T.-M. Lau,D. Strauss
Publisher : Springer
Page : 277 pages
File Size : 54,6 Mb
Release : 2016-12-13
Category : Mathematics
ISBN : 9783319323497
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 locally compact space K as the main example. The study of C_0(K) has been an important area of functional analysis for many years. It gives several new constructions, some involving Boolean rings, of this space as well as many results on the Stonean space of Boolean rings. The book also discusses when Banach spaces of continuous functions are dual spaces and when they are bidual spaces.
Author : Ivan Singer
Publisher : Springer
Page : 688 pages
File Size : 51,8 Mb
Release : 1970
Category : Mathematics
ISBN : UOM:39015015690541
Author : Aref Jeribi
Publisher : Walter de Gruyter GmbH & Co KG
Page : 421 pages
File Size : 55,7 Mb
Release : 2018-03-19
Category : Mathematics
ISBN : 9783110493863
This book is devoted to recent developments concerning linear operators, covering topics such as the Cauchy problem, Riesz basis, frames, spectral theory and applications to the Gribov operator in Bargmann space. Also, integral and integro-differential equations as well as applications to problems in mathematical physics and mechanics are discussed. Contents Introduction Linear operators Basic notations and results Bases Semi-groups Discrete operator and denseness of the generalized eigenvectors Frames in Hilbert spaces Summability of series ν-convergence operators Γ-hypercyclic set of linear operators Analytic operators in Béla Szökefalvi-Nagy’s sense Bases of the perturbed operator T(ε) Frame of the perturbed operator T(ε) Perturbation method for sound radiation by a vibrating plate in a light fluid Applications to mathematical models Reggeon field theory
Author : Alfred David Andrew
Publisher : Unknown
Page : 132 pages
File Size : 44,6 Mb
Release : 1975
Category : Banach spaces
ISBN : STANFORD:36105025660171
Author : Christopher Heil
Publisher : Springer Science & Business Media
Page : 549 pages
File Size : 45,6 Mb
Release : 2011
Category : Mathematics
ISBN : 9780817646868
This textbook is a self-contained introduction to the abstract theory of bases and redundant frame expansions and their use in both applied and classical harmonic analysis. The four parts of the text take the reader from classical functional analysis and basis theory to modern time-frequency and wavelet theory. Extensive exercises complement the text and provide opportunities for learning-by-doing, making the text suitable for graduate-level courses. The self-contained presentation with clear proofs is accessible to graduate students, pure and applied mathematicians, and engineers interested in the mathematical underpinnings of applications.
Author : N. De Grande-De Kimpe,Jerzy Kakol,C. Perez-Garcia
Publisher : CRC Press
Page : 350 pages
File Size : 52,8 Mb
Release : 1999-07-07
Category : Mathematics
ISBN : 0824782542
A presentation of results in p-adic Banach spaces, spaces over fields with an infinite rank valuation, Frechet (and locally convex) spaces with Schauder bases, function spaces, p-adic harmonic analysis, and related areas. It showcases research results in functional analysis over nonarchimedean valued complete fields. It explores spaces of continuous functions, isometries, Banach Hopf algebras, summability methods, fractional differentiation over local fields, and adelic formulas for gamma- and beta-functions in algebraic number theory.
Author : Christopher Heil
Publisher : Birkhäuser
Page : 359 pages
File Size : 48,8 Mb
Release : 2018-08-28
Category : Mathematics
ISBN : 9783319653228
This text is a self-contained introduction to the three main families that we encounter in analysis – metric spaces, normed spaces, and inner product spaces – and to the operators that transform objects in one into objects in another. With an emphasis on the fundamental properties defining the spaces, this book guides readers to a deeper understanding of analysis and an appreciation of the field as the “science of functions.” Many important topics that are rarely presented in an accessible way to undergraduate students are included, such as unconditional convergence of series, Schauder bases for Banach spaces, the dual of lp topological isomorphisms, the Spectral Theorem, the Baire Category Theorem, and the Uniform Boundedness Principle. The text is constructed in such a way that instructors have the option whether to include more advanced topics. Written in an appealing and accessible style, Metrics, Norms, Inner Products, and Operator Theory is suitable for independent study or as the basis for an undergraduate-level course. Instructors have several options for building a course around the text depending on the level and interests of their students. Key features: Aimed at students who have a basic knowledge of undergraduate real analysis. All of the required background material is reviewed in the first chapter. Suitable for undergraduate-level courses; no familiarity with measure theory is required. Extensive exercises complement the text and provide opportunities for learning by doing. A separate solutions manual is available for instructors via the Birkhäuser website (www.springer.com/978-3-319-65321-1). Unique text providing an undergraduate-level introduction to metrics, norms, inner products, and their associated operator theory.