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.
@article{bwmeta1.element.bwnjournal-article-smv136i1p91bwm,
author = {A. Moreno Galindo},
title = {The triple-norm extension problem: the nondegenerate complete case.},
journal = {Studia Mathematica},
volume = {133},
year = {1999},
pages = {91-97},
zbl = {0940.46031},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv136i1p91bwm}
}
Moreno Galindo, A. The triple-norm extension problem: the nondegenerate complete case.. Studia Mathematica, Tome 133 (1999) pp. 91-97. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv136i1p91bwm/
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