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ArticleOriginal scientific text

Title

The triple-norm extension problem: the nondegenerate complete case.

Authors 1

Affiliations

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

Abstract

We prove that, if A is an associative algebra with two commuting involutions τ and π, if A is a τ-π-tight envelope of the Jordan Triple System T:=H(A,τ) ∩ S(A,π), and if T is nondegenerate, then every complete norm on T making the triple product continuous is equivalent to the restriction to T of an algebra norm on A.

Keywords

ENG
Jordan triple systems, JB*-triples, norm extension problem

Bibliography

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Studia Mathematica
1999/136/1
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Pages:
91-97
Main language of publication
English
Received
1998-11-13
Published
1999
Exact and natural sciences