Lebesgue Theory in the Bidual of C(X)

Lebesgue Theory in the Bidual of C(X)

by Samuel Kaplan
     
 

ISBN-10: 0821804634

ISBN-13: 9780821804636

Pub. Date: 04/17/1996

Publisher: American Mathematical Society

This book, based on the author's monograph, ''The Bidual of C(X) I'', throws new light on the subject of Lebesgue integration and contributes to clarification of the structure of the bidual of C(X). Kaplan generalizes to the bidual the theory of Lebesgue integration, with respect to Radon measures on X, of bounded functions (X is assumed to be compact). The bidual

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Overview

This book, based on the author's monograph, ''The Bidual of C(X) I'', throws new light on the subject of Lebesgue integration and contributes to clarification of the structure of the bidual of C(X). Kaplan generalizes to the bidual the theory of Lebesgue integration, with respect to Radon measures on X, of bounded functions (X is assumed to be compact). The bidual of C(X) contains this space of bounded functions, but is much more ''spacious'', so the body of results can be expected to be richer. Finally, the author shows that by projection onto the space of bounded functions, the standard theory is obtained.

Product Details

ISBN-13:
9780821804636
Publisher:
American Mathematical Society
Publication date:
04/17/1996
Series:
Memoirs of the American Mathematical Society Series, #57
Pages:
127

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