L¹(µ X) as a complemented subspace of its bidual

Rao, T. S. S. R. K. (1994) L¹(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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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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L 1 (µ X) as a complemented subspace of its bidual

Abstract

L¹(µ X) as a complemented subspace of its bidual