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Spaces of Continuous Functions

2016-06-17 Mathematics
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Release : 2016-06-17
Genre : Mathematics
Kind : eBook
Book Rating : 013/5 ( reviews)

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Book Synopsis Spaces of Continuous Functions by : G.L.M. Groenewegen

Download or read book Spaces of Continuous Functions written by G.L.M. Groenewegen. This book was released on 2016-06-17. Available in PDF, EPUB and Kindle. Book excerpt: 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

2006-12-08 Mathematics
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Release : 2006-12-08
Genre : Mathematics
Kind : eBook
Book Rating : 819/5 ( reviews)

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Book Synopsis Topological Properties of Spaces of Continuous Functions by : Robert A. McCoy

Download or read book Topological Properties of Spaces of Continuous Functions written by Robert A. McCoy. This book was released on 2006-12-08. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Banach Spaces of Continuous Functions

1971 Banach spaces
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Release : 1971
Genre : Banach spaces
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Banach Spaces of Continuous Functions by : Zbigniew Semadeni

Download or read book Banach Spaces of Continuous Functions written by Zbigniew Semadeni. This book was released on 1971. Available in PDF, EPUB and Kindle. Book excerpt:

Schauder Bases in Banach Spaces of Continuous Functions

2006-11-14 Mathematics
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Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 436/5 ( reviews)

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Book Synopsis Schauder Bases in Banach Spaces of Continuous Functions by : Z. Semadeni

Download or read book Schauder Bases in Banach Spaces of Continuous Functions written by Z. Semadeni. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt:

Rings of Continuous Functions

2018-01-16 Mathematics
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Release : 2018-01-16
Genre : Mathematics
Kind : eBook
Book Rating : 885/5 ( reviews)

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Book Synopsis Rings of Continuous Functions by : Leonard Gillman

Download or read book Rings of Continuous Functions written by Leonard Gillman. This book was released on 2018-01-16. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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