02915nam 2200673Ia 450 991096974310332120251116174038.097866118992339781281899231128189923297898127032869812703284(CKB)1000000000334249(EBL)296268(OCoLC)476064684(SSID)ssj0000260160(PQKBManifestationID)11192614(PQKBTitleCode)TC0000260160(PQKBWorkID)10192484(PQKB)10677097(MiAaPQ)EBC296268(WSP)00000238 (Au-PeEL)EBL296268(CaPaEBR)ebr10174098(CaONFJC)MIL189923(Perlego)849322(EXLCZ)99100000000033424920051031d2005 uy 0engur|n|---|||||txtccrTopics in Banach space integration /Stefan Schwabik, Ye Guoju1st ed.New Jersey World Scientificc20051 online resource (313 p.)Series in real analysis ;v. 10Description based upon print version of record.9789812564283 9812564284 Includes bibliographical references (p. 291-296) and index.Preface; Notation; Contents; 1. Bochner Integral; 2. Dunford and Pettis Integrals; 3. McShane and Henstock-Kurzweil Integrals; 4. More on the McShane Integral; 5. Comparison of the Bochner and McShane Integrals; 6. Comparison of the Pettis and McShane Integrals; 7. Primitive of the McShane and Henstock-Kurzweil Integrals; 8. Generalizations of Some Integrals; Appendix A Classical Banach Spaces; Appendix B Series in Banach Spaces; Bibliography; IndexThe relatively new concepts of the Henstock-Kurzweil and McShane integrals based on Riemann type sums are an interesting challenge in the study of integration of Banach space-valued functions. This timely book presents an overview of the concepts developed and results achieved during the past 15 years. The Henstock-Kurzweil and McShane integrals play the central role in the book. Various forms of the integration are introduced and compared from the viewpoint of their generality. Functional analysis is the main tool for presenting the theory of summation gauge integrals. Series in real analysis ;v. 10.Banach spacesIntegralsBanach spaces.Integrals.515.732Schwabik Štefan1941-41416Ye Guoju738669MiAaPQMiAaPQMiAaPQBOOK9910969743103321Topics in Banach space integration1463168UNINA