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

Studia Mathematica (1999)

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

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topMoreno 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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