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100   $a20051031d2005      uy         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aTopics in Banach space integration /$fStefan Schwabik, Ye Guoju
205   $a1st ed.
210   $aNew Jersey $cWorld Scientific$dc2005
215   $a1 online resource (313 p.)
225 1 $aSeries in real analysis ;$vv. 10
300   $aDescription based upon print version of record.
311 08$a9789812564283 
311 08$a9812564284 
320   $aIncludes bibliographical references (p. 291-296) and index.
327   $aPreface; 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; Index
330   $aThe relatively new concepts of the Henstock-Kurzweil and McShane integrals based on Riemann type sums are an interesting challenge in the study of integration of Banach space-valued functions. This timely book presents an overview of the concepts developed and results achieved during the past 15 years. The Henstock-Kurzweil and McShane integrals play the central role in the book. Various forms of the integration are introduced and compared from the viewpoint of their generality. Functional analysis is the main tool for presenting the theory of summation gauge integrals. 
410  0$aSeries in real analysis ;$vv. 10.
606   $aBanach spaces
606   $aIntegrals
615  0$aBanach spaces.
615  0$aIntegrals.
676   $a515.732
700   $aSchwabik$b S?tefan$f1941-$041416
701   $aYe$b Guoju$0738669
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910969743103321
996   $aTopics in Banach space integration$91463168
997   $aUNINA