L 1 (µ X) as a complemented subspace of its bidual

Rao, T. S. S. R. K. (1994) L 1 (µ X) as a complemented subspace of its bidual Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 104 (2). pp. 421-424. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/j_archive/mathsci/104/2/421-4...

Abstract

We show that for a Banach space X, if the space of X-valued Bochner integrable functions is complemented in some dual space, then it is complemented in the space of X-valued countably additive, µ-continuous vector measures

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Bochner Integrable Functions; Vector Measures; L-ideals
ID Code:92863
Deposited On:05 Jun 2012 10:11
Last Modified:19 May 2016 06:07

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