| eBook ISBN: | 978-1-4704-0164-1 |
| Product Code: | MEMO/121/579.E |
| List Price: | $46.00 |
| MAA Member Price: | $41.40 |
| AMS Member Price: | $27.60 |
| eBook ISBN: | 978-1-4704-0164-1 |
| Product Code: | MEMO/121/579.E |
| List Price: | $46.00 |
| MAA Member Price: | $41.40 |
| AMS Member Price: | $27.60 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 121; 1996; 127 ppMSC: Primary 46; 28
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.
ReadershipGraduate students and research mathematicians interested in functional analysis and measure and integrations.
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Table of Contents
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Chapters
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Introduction
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1. $\mathfrak {L}^\infty $
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2. Convergence
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3. Some classical theorems
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4. The projection of $C”$ onto $C”_a$
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5. Lebesgue Theory in $C”_a$
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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.
Graduate students and research mathematicians interested in functional analysis and measure and integrations.
-
Chapters
-
Introduction
-
1. $\mathfrak {L}^\infty $
-
2. Convergence
-
3. Some classical theorems
-
4. The projection of $C”$ onto $C”_a$
-
5. Lebesgue Theory in $C”_a$
