The Bartle-Dunford-Schwartz Integral : Integration with Respect to a Sigma-Additive Vector Measure
In 1953, Grothendieck [G] characterized locally convex Hausdor? spaces which have the Dunford-Pettis property and used this property to characterize weakly compact operators u : C(K)? F,where K is a compact Hausdor? space and F is a locally convex Hausdor? space (brie?y, lcHs) which is complete. Amo...
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| स्वरूप: | Livre numérique |
| भाषा: | Anglais |
| प्रकाशित: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| संस्करण: | 1st ed. 2008. |
| श्रृंखला: | Monografie Matematyczne
69 |
| विषय: | |
| ऑनलाइन पहुंच: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| टिप्पणी: |
L'impression du document génère 310 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The Bartle-Dunford-Schwartz Integral, Texte imprimé, 9783764394684 • The Bartle-Dunford-Schwartz integral, integration with respect to a sigma-additive vector measure, T.V. Panchapagesan, 2008, Basel, Birkhäuser, 1 vol. (XV- 301 p.), Monografie matematyczne, 978-3-7643-8601-6 |
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| 084 | |a 28B05. 2010 | ||
| 084 | |a 46E40. 2010 | ||
| 084 | |a 46G10. 2010 | ||
| 100 | 1 | |a Panchapagesan, T. V. | |
| 245 | 1 | 0 | |a The Bartle-Dunford-Schwartz Integral : |b Integration with Respect to a Sigma-Additive Vector Measure |c T. V. Panchapagesan. |
| 250 | |a 1st ed. 2008. | ||
| 260 | |a Basel : |b Birkhäuser Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Monografie Matematyczne |v 69 |x 2297-0274 | |
| 500 | |a L'impression du document génère 310 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Preliminaries Basic Properties of the Bartle-Dunford-Schwartz Integral Lp-spaces, 1 ? p ? ? Integration With Respect to lcHs-valued Measures Applications to Integration in Locally Compact Hausdorff Spaces Part I Applications to Integration in Locally Compact Hausdorff Spaces Part II Complements to the Thomas Theory of Vectorial Radon Integration | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a In 1953, Grothendieck [G] characterized locally convex Hausdor? spaces which have the Dunford-Pettis property and used this property to characterize weakly compact operators u : C(K)? F,where K is a compact Hausdor? space and F is a locally convex Hausdor? space (brie?y, lcHs) which is complete. Among other results, he also showedthat there is a bijective correspondencebetween the family of all F-valued weakly compact operators u on C(K) and that of all F-valued ?-additive Baire measures on K. But he did not develop any theory of integration to represent these operators. Later, in 1955, Bartle, Dunford, and Schwartz [BDS] developed a theory of integration for scalar functions with respect to a ?-additive Banach-space-valued vector measure m de?ned on a ?-algebra of sets and used it to give an integral representationfor weakly compact operatorsu : C(S)? X,where S is a compact Hausdor? space and X is a Banach space. A modi?ed form of this theory is given inSection10ofChapterIVof[DS1].Inhonoroftheseauthors,we callthe integral introduced by them as well as its variants given in Section 2.2 of Chapter 2 and in Section 4.2 of Chapter 4, the Bartle-Dunford-Schwartz integral or brie?y, the BDS-integral | ||
| 650 | |a Espaces Lp | ||
| 650 | |a Mesures vectorielles | ||
| 650 | |a Calcul intégral | ||
| 776 | 0 | |t The Bartle-Dunford-Schwartz Integral |b Texte imprimé |z 9783764394684 | |
| 776 | 0 | |0 128265280 |t The Bartle-Dunford-Schwartz integral |o integration with respect to a sigma-additive vector measure |f T.V. Panchapagesan |d 2008 |c Basel |n Birkhäuser |p 1 vol. (XV- 301 p.) |s Monografie matematyczne |z 978-3-7643-8601-6 | |
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