Download or read book Descriptive Topology in Selected Topics of Functional Analysis written by Jerzy Kąkol and published by Springer Science & Business Media. This book was released on 2011-08-30 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Descriptive Topology in Selected Topics of Functional Analysis" is a collection of recent developments in the field of descriptive topology, specifically focused on the classes of infinite-dimensional topological vector spaces that appear in functional analysis. Such spaces include Fréchet spaces, (LF)-spaces and their duals, and the space of continuous real-valued functions C(X) on a completely regular Hausdorff space X, to name a few. These vector spaces appear in functional analysis in distribution theory, differential equations, complex analysis, and various other analytical settings. This monograph provides new insights into the connections between the topological properties of linear function spaces and their applications in functional analysis.
Download or read book Topology and Borel Structure written by and published by Elsevier. This book was released on 2011-08-26 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology and Borel Structure
Download or read book Topology and Borel structure descriptive topology and set theory with applications to functional analysis and measure theory written by Jens Peter Reus Christensen and published by . This book was released on 1974 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applications of Descriptive Topology in Functional Analysis written by Charles Stegall and published by . This book was released on 1985* with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Descriptive Topology and Functional Analysis written by Juan Carlos Ferrando and published by Springer. This book was released on 2016-09-17 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Descriptive topology and functional analysis, with extensive material demonstrating new connections between them, are the subject of the first section of this work. Applications to spaces of continuous functions, topological Abelian groups, linear topological equivalence and to the separable quotient problem are included and are presented as open problems. The second section is devoted to Banach spaces, Banach algebras and operator theory. Each chapter presents a lot of worthwhile and important recent theorems with an abstract discussing the material in the chapter. Each chapter can almost be seen as a survey covering a particular area.
Download or read book Descriptive Topology and Functional Analysis written by Juan Carlos Ferrando and published by Springer. This book was released on 2014-07-31 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topology and Borel structure written by Jens Peter Reus Christensen and published by . This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topology and Boronel Structure written by Jens Peter Reus Christensen and published by . This book was released on 1974 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topology and Borel Structure Descriptive Topology and Set Theory With Applications to Functional Analysis and Measure Theory By J P R Christensen written by Jens Peter Reus Christensen and published by . This book was released on 1974 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Descriptive Topology and Functional Analysis II written by Juan Carlos Ferrando and published by Springer. This book was released on 2020-08-14 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel López-Pellicer's mathematical research. Covering topics in descriptive topology and functional analysis, including topological groups and Banach space theory, fuzzy topology, differentiability and renorming, tensor products of Banach spaces and aspects of Cp-theory, this volume is particularly useful to young researchers wanting to learn about the latest developments in these areas.
Download or read book Descriptive Topology and Functional Analysis II written by Juan Carlos Ferrando and published by . This book was released on 2019 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel Lâopez-Pellicer's mathematical research. Covering topics in descriptive topology and functional analysis, including topological groups and Banach space theory, fuzzy topology, differentiability and renorming, tensor products of Banach spaces and aspects of Cp-theory, this volume is particularly useful to young researchers wanting to learn about the latest developments in these areas.
Download or read book Descriptive Topology and Functional Analysis II written by Juan Carlos Ferrando and published by Springer. This book was released on 2019-06-02 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel López-Pellicer's mathematical research. Covering topics in descriptive topology and functional analysis, including topological groups and Banach space theory, fuzzy topology, differentiability and renorming, tensor products of Banach spaces and aspects of Cp-theory, this volume is particularly useful to young researchers wanting to learn about the latest developments in these areas.
Download or read book Convergence Structures and Applications to Functional Analysis written by R. Beattie and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers a rigorous introduction into the theory and methods of convergence spaces and gives concrete applications to the problems of functional analysis. While there are a few books dealing with convergence spaces and a great many on functional analysis, there are none with this particular focus. The book demonstrates the applicability of convergence structures to functional analysis. Highlighted here is the role of continuous convergence, a convergence structure particularly appropriate to function spaces. It is shown to provide an excellent dual structure for both topological groups and topological vector spaces. Readers will find the text rich in examples. Of interest, as well, are the many filter and ultrafilter proofs which often provide a fresh perspective on a well-known result. Audience: This text will be of interest to researchers in functional analysis, analysis and topology as well as anyone already working with convergence spaces. It is appropriate for senior undergraduate or graduate level students with some background in analysis and topology.
Download or read book Topology with Applications written by Somashekhar A. Naimpally and published by World Scientific. This book was released on 2013 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principal aim of this book is to introduce topology and its many applications viewed within a framework that includes a consideration of compactness, completeness, continuity, filters, function spaces, grills, clusters and bunches, hyperspace topologies, initial and final structures, metric spaces, metrization, nets, proximal continuity, proximity spaces, separation axioms, and uniform spaces.This book provides a complete framework for the study of topology with a variety of applications in science and engineering that include camouflage filters, classification, digital image processing, forgery detection, Hausdorff raster spaces, image analysis, microscopy, paleontology, pattern recognition, population dynamics, stem cell biology, topological psychology, and visual merchandising.It is the first complete presentation on topology with applications considered in the context of proximity spaces, and the nearness and remoteness of sets of objects. A novel feature throughout this book is the use of near and far, discovered by F Riesz over 100 years ago. In addition, it is the first time that this form of topology is presented in the context of a number of new applications.
Download or read book Convergence Structures and Applications to Functional Analysis written by R. Beattie and published by . This book was released on 2014-01-15 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book General Topology III written by A.V. Arhangel'skii and published by Springer. This book was released on 2014-03-12 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference work deals with important topics in general topology and their role in functional analysis and axiomatic set theory, for graduate students and researchers working in topology, functional analysis, set theory and probability theory. It provides a guide to recent research findings, with three contributions by Arhangel'skii and Choban.
Download or read book Surveys in General Topology written by George M. Reed and published by Academic Press. This book was released on 2014-05-10 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys in General Topology presents topics relating to general topology ranging from closed mappings and ultrafilters to covering and separation properties of box products. Ordered topological spaces and the use of combinatorial techniques in functional analysis are also considered, along with product spaces and weakly compact subsets of Banach spaces. Applications of stationary sets in topology are presented as well. Comprised of 15 chapters, this volume begins with an analysis of some of the techniques and results in the area of closed mappings, followed by a discussion on the theory of ultrafilters. The reader is then introduced to the question of when a box product of compact spaces is paracompact, and how badly a box product of compact or metrizable spaces can fail to be normal. Subsequent chapters focus on the transfinite dimension; the properties of metacompactness, submetacompactness, and subparacompactness; the dimension of ordered topological spaces; the use of combinatorial techniques for the treatment and solution of fundamental problems in functional analysis, particularly in the isomorphic theory of Banach spaces; and order-theoretic base axioms. This monograph will be of significant value both to researchers in general topology and to mathematicians outside the field who wish an overview of current topics and techniques.
