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Banach Spaces of Continuous Functions

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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

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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:

Banach Spaces of Continuous Functions as Dual Spaces

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Release : 2016-12-13
Genre : Mathematics
Kind : eBook
Book Rating : 490/5 ( reviews)

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Book Synopsis Banach Spaces of Continuous Functions as Dual Spaces by : H. G. Dales

Download or read book Banach Spaces of Continuous Functions as Dual Spaces written by H. G. Dales. This book was released on 2016-12-13. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Spaces of Continuous Functions

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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.

Isometries on Banach Spaces

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Release : 2002-12-23
Genre : Mathematics
Kind : eBook
Book Rating : 151/5 ( reviews)

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Book Synopsis Isometries on Banach Spaces by : Richard J. Fleming

Download or read book Isometries on Banach Spaces written by Richard J. Fleming. This book was released on 2002-12-23. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the class of Banach spaces, this leads naturally to a study of isometries-the linear transformations that preserve distances. In his foundational treatise, Banach showed that every linear isometry on the space of continuous functions on a compact metric

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