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Extension of bilinear forms from subespaces of L1 -space

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Castillo, Jesús M.F. and García, Ricardo and Jaramillo Aguado, Jesús Ángel (2002) Extension of bilinear forms from subespaces of L1 -space. Annales Academiæ Scientiarum Fennicæ Mathematica, 27 . pp. 91-96. ISSN 1239-629X

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Official URL: http://www.acadsci.fi/mathematica/Vol27/castillo.pdf




Abstract

We study the extension of bilinear forms from a given subspace of an L1 -space to the whole space. Precisely, an isomorphic embedding j: E → X is said to be (linearly) 2-exact if bilinear forms on E can be (linear and continuously) extended to X through j . We present some necesary and some sufficient conditions for an embedding j: E → X to be 2-exact when X is an L1 -space.


Item Type:Article
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:28601
Deposited On:20 Feb 2015 11:40
Last Modified:20 Feb 2015 11:40

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