Topological Properties Of Spaces Of Continuous Functions
Download Topological Properties Of Spaces Of Continuous Functions full books in PDF, epub, and Kindle. Read online free Topological Properties Of Spaces Of Continuous Functions ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Topological Properties of Spaces of Continuous Functions
Author | : Robert A. McCoy,Ibula Ntantu |
Publsiher | : Springer |
Total Pages | : 128 |
Release | : 2006-12-08 |
Genre | : Mathematics |
ISBN | : 9783540391814 |
Download Topological Properties of Spaces of Continuous Functions Book in PDF, Epub and Kindle
This book brings together into a general setting various techniques in the study of the topological properties of spaces of continuous functions. The two major classes of function space topologies studied are the set-open topologies and the uniform topologies. Where appropriate, the analogous theorems for the two major classes of topologies are studied together, so that a comparison can be made. A chapter on cardinal functions puts characterizations of a number of topological properties of function spaces into a more general setting: some of these results are new, others are generalizations of known theorems. Excercises are included at the end of each chapter, covering other kinds of function space topologies. Thus the book should be appropriate for use in a classroom setting as well as for functional analysis and general topology. The only background needed is some basic knowledge of general topology.
Topological Properties of Spaces of Continuous Functions
Author | : Robert A. McCoy,Ibula Ntantu |
Publsiher | : Unknown |
Total Pages | : 138 |
Release | : 2014-01-15 |
Genre | : Electronic Book |
ISBN | : 3662169347 |
Download Topological Properties of Spaces of Continuous Functions Book in PDF, Epub and Kindle
Spaces of Continuous Functions
Author | : G.L.M. Groenewegen,A.C.M. van Rooij |
Publsiher | : Springer |
Total Pages | : 173 |
Release | : 2016-06-17 |
Genre | : Mathematics |
ISBN | : 9789462392014 |
Download Spaces of Continuous Functions Book in PDF, Epub and Kindle
The space C(X) of all continuous functions on a compact space X carries the structure of a normed vector space, an algebra and a lattice. On the one hand we study the relations between these structures and the topology of X, on the other hand we discuss a number of classical results according to which an algebra or a vector lattice can be represented as a C(X). Various applications of these theorems are given.Some attention is devoted to related theorems, e.g. the Stone Theorem for Boolean algebras and the Riesz Representation Theorem.The book is functional analytic in character. It does not presuppose much knowledge of functional analysis; it contains introductions into subjects such as the weak topology, vector lattices and (some) integration theory.
Descriptive Topology in Selected Topics of Functional Analysis
Author | : Jerzy Kąkol,Wiesław Kubiś,Manuel López-Pellicer |
Publsiher | : Springer Science & Business Media |
Total Pages | : 494 |
Release | : 2011-08-30 |
Genre | : Mathematics |
ISBN | : 9781461405290 |
Download Descriptive Topology in Selected Topics of Functional Analysis Book in PDF, Epub and Kindle
"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.
Function Spaces with Uniform Fine and Graph Topologies
Author | : Robert A. McCoy,Subiman Kundu,Varun Jindal |
Publsiher | : Springer |
Total Pages | : 106 |
Release | : 2018-04-21 |
Genre | : Mathematics |
ISBN | : 9783319770543 |
Download Function Spaces with Uniform Fine and Graph Topologies Book in PDF, Epub and Kindle
This book presents a comprehensive account of the theory of spaces of continuous functions under uniform, fine and graph topologies. Besides giving full details of known results, an attempt is made to give generalizations wherever possible, enriching the existing literature. The goal of this monograph is to provide an extensive study of the uniform, fine and graph topologies on the space C(X,Y) of all continuous functions from a Tychonoff space X to a metric space (Y,d); and the uniform and fine topologies on the space H(X) of all self-homeomorphisms on a metric space (X,d). The subject matter of this monograph is significant from the theoretical viewpoint, but also has applications in areas such as analysis, approximation theory and differential topology. Written in an accessible style, this book will be of interest to researchers as well as graduate students in this vibrant research area.
Topological Structures for a Space of Continuous Functions
Author | : Richard Eugene McGill |
Publsiher | : Unknown |
Total Pages | : 68 |
Release | : 1958 |
Genre | : Functions, Continuous |
ISBN | : UOM:39015095253137 |
Download Topological Structures for a Space of Continuous Functions Book in PDF, Epub and Kindle
Set Valued Mappings Selections and Topological Properties of 2x
Author | : W. M. Fleischman |
Publsiher | : Springer |
Total Pages | : 125 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 9783540364191 |
Download Set Valued Mappings Selections and Topological Properties of 2x Book in PDF, Epub and Kindle
Rings of Continuous Functions
Author | : Leonard Gillman |
Publsiher | : Courier Dover Publications |
Total Pages | : 321 |
Release | : 2018-01-16 |
Genre | : Mathematics |
ISBN | : 9780486816883 |
Download Rings of Continuous Functions Book in PDF, Epub and Kindle
Designed as a text as well as a treatise, the first systematic account of the theory of rings of continuous functions remains the basic graduate-level book in this area. 1960 edition.