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ArticleOriginal scientific text

Title

Properly semi-L-embedded complex spaces

Authors 1

Affiliations

  1. Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain

Abstract

We prove the existence of complex Banach spaces X such that every element F in the bidual X** of X has a unique best approximation π(F) in X, the equality ∥F∥ = ∥π (F)∥ + ∥F - π (F)∥ holds for all F in X**, but the mapping π is not linear.

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Studia Mathematica
1993/106/2
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Pages:
197-202
Main language of publication
English
Received
1992-11-17
Accepted
1993-02-21
Published
1993
Exact and natural sciences