02847nam 2200637Ia 450 991078210000332120200520144314.01-281-86258-497866118625893-7643-8602-910.1007/978-3-7643-8602-3(CKB)1000000000491952(EBL)364560(OCoLC)288473631(SSID)ssj0000108928(PQKBManifestationID)11138419(PQKBTitleCode)TC0000108928(PQKBWorkID)10045126(PQKB)10420181(DE-He213)978-3-7643-8602-3(MiAaPQ)EBC364560(Au-PeEL)EBL364560(CaPaEBR)ebr10251912(CaONFJC)MIL186258(PPN)128126469(EXLCZ)99100000000049195220071210d2008 uy 0engur|n|---|||||txtccrThe Bartle-Dunford-Schwartz integral[electronic resource] integration with respect to a sigma-additive vector measure /T.V. Panchapagesan1st ed. 2008.Basel ;Boston Birkhäuserc20081 online resource (313 p.)Monografie matematyczne ;69Description based upon print version of record.3-7643-8601-0 Includes bibliographical references and index.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.This volume is a thorough and comprehensive treatise on vector measures. The functions to be integrated can be either 0, infinity]- or real- or complex-valued and the vector measure can take its values in arbitrary locally convex Hausdorff spaces. Moreover, the domain of the vector measure does not have to be a sigma-algebra: it can also be a delta-ring. The book contains not only a large amount of new material but also corrects various errors in well-known results available in the literature. It will appeal to a wide audience of mathematical analysts.Monografie matematyczne ;69.Measure theoryVector-valued measuresMeasure theory.Vector-valued measures.515.7Panchapagesan T. V1473754MiAaPQMiAaPQMiAaPQBOOK9910782100003321The Bartle-Dunford-Schwartz integral3687067UNINA