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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.
Achat du livre
Memoirs of the American Mathematical Society - 579: Lebesgue Theory in the Bidual of C(X), Robert S. Kaplan
- Langue
- Année de publication
- 1996
- Reliure
- (souple),
- État du livre
- Bon
- Prix
- 52,99 €
Modes de paiement
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- Titre
- Memoirs of the American Mathematical Society - 579: Lebesgue Theory in the Bidual of C(X)
- Langue
- Anglais
- Auteurs
- Robert S. Kaplan
- Publié
- 1996
- Format
- souple
- Pages
- 127
- ISBN10
- 0821804634
- ISBN13
- 9780821804636
- Séries
- Mots clés
- États-Unis, Littérature spécialisée
- Description
- 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.