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

A. Moreno Galindo

Studia Mathematica (1999)

  • Volume: 136, Issue: 1, page 91-97
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Moreno Galindo, A.. "The triple-norm extension problem: the nondegenerate complete case.." Studia Mathematica 136.1 (1999): 91-97. <http://eudml.org/doc/216663>.

@article{MorenoGalindo1999,
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.},
author = {Moreno Galindo, A.},
journal = {Studia Mathematica},
keywords = {Jordan triple systems; JB*-triples; norm extension problem; 3NEP; triple-norm extension problem; Jordan triple system; triple product; principle of uniform boundedness},
language = {eng},
number = {1},
pages = {91-97},
title = {The triple-norm extension problem: the nondegenerate complete case.},
url = {http://eudml.org/doc/216663},
volume = {136},
year = {1999},
}

TY - JOUR
AU - Moreno Galindo, A.
TI - The triple-norm extension problem: the nondegenerate complete case.
JO - Studia Mathematica
PY - 1999
VL - 136
IS - 1
SP - 91
EP - 97
AB - 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.
LA - eng
KW - Jordan triple systems; JB*-triples; norm extension problem; 3NEP; triple-norm extension problem; Jordan triple system; triple product; principle of uniform boundedness
UR - http://eudml.org/doc/216663
ER -

References

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