Unified approach to vector valued integration

Please use this identifier to cite or link to this item: http://hdl.handle.net/10311/1336

Title:	Unified approach to vector valued integration
Authors:	Robdera, Mangatiana A.
Keywords:	vector valued Henstock-Kurzweil integral Lebesgue-Bochner integral
Issue Date:	Jun-2013
Publisher:	Pushpa Publishing House, www.pphmj.com
Citation:	Robdera, Mangatiana A. (2014) Unified to vector valued integration, IJFAOTA, Vol.5, Issue 2, pp. 119-139
Abstract:	We introduce a natural and more flexible approach to the definition of vector valued integral that will completely forgo any measurability assumption, strengthen the existing various classical concepts of integral, and provide a continuous thread tying the subject matter together. As applications, we obtain extensions of the Lebesgue convergence theorems, the Dvoretsky-Rogers theorem, and the Orlicz-Pettis theorem.
URI:	http://hdl.handle.net/10311/1336
ISSN:	0975-2919
Appears in Collections:	Research articles (Dept of Mathematics)

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