Spaces of Continuous Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Spaces of Continuous Functions write by G.L.M. Groenewegen. This book was released on 2016-06-17. Spaces of Continuous Functions available 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.
Topological Properties of Spaces of Continuous Functions
Topological Properties of Spaces of Continuous Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological Properties of Spaces of Continuous Functions write by Robert A. McCoy. This book was released on 2006-12-08. Topological Properties of Spaces of Continuous Functions available 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.
Schauder Bases in Banach Spaces of Continuous Functions
Schauder Bases in Banach Spaces of Continuous Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Schauder Bases in Banach Spaces of Continuous Functions write by Z. Semadeni. This book was released on 2006-11-14. Schauder Bases in Banach Spaces of Continuous Functions available in PDF, EPUB and Kindle.
Rings of Continuous Functions
Rings of Continuous Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Rings of Continuous Functions write by Leonard Gillman. This book was released on 2018-01-16. Rings of Continuous Functions available 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.
Sobolev Spaces
Sobolev Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Sobolev Spaces write by Vladimir Maz'ya. This book was released on 2011-02-11. Sobolev Spaces available in PDF, EPUB and Kindle. Sobolev spaces play an outstanding role in modern analysis, in particular, in the theory of partial differential equations and its applications in mathematical physics. They form an indispensable tool in approximation theory, spectral theory, differential geometry etc. The theory of these spaces is of interest in itself being a beautiful domain of mathematics. The present volume includes basics on Sobolev spaces, approximation and extension theorems, embedding and compactness theorems, their relations with isoperimetric and isocapacitary inequalities, capacities with applications to spectral theory of elliptic differential operators as well as pointwise inequalities for derivatives. The selection of topics is mainly influenced by the author’s involvement in their study, a considerable part of the text is a report on his work in the field. Part of this volume first appeared in German as three booklets of Teubner-Texte zur Mathematik (1979, 1980). In the Springer volume “Sobolev Spaces”, published in English in 1985, the material was expanded and revised. The present 2nd edition is enhanced by many recent results and it includes new applications to linear and nonlinear partial differential equations. New historical comments, five new chapters and a significantly augmented list of references aim to create a broader and modern view of the area.
