Bounded elements and spectrum in Banach quasi *-algebras

Camillo Trapani. "Bounded elements and spectrum in Banach quasi *-algebras." Studia Mathematica 172.3 (2006): 249-273. <http://eudml.org/doc/284997>.

@article{CamilloTrapani2006,
abstract = {A normal Banach quasi *-algebra (,) has a distinguished Banach *-algebra $_\{b\}$ consisting of bounded elements of . The latter *-algebra is shown to coincide with the set of elements of having finite spectral radius. If the family () of bounded invariant positive sesquilinear forms on contains sufficiently many elements then the Banach *-algebra of bounded elements can be characterized via a C*-seminorm defined by the elements of ().},
author = {Camillo Trapani},
journal = {Studia Mathematica},
keywords = {quasi -algebra; -algebra; spectrum; sesquilinear form},
language = {eng},
number = {3},
pages = {249-273},
title = {Bounded elements and spectrum in Banach quasi *-algebras},
url = {http://eudml.org/doc/284997},
volume = {172},
year = {2006},
}

TY - JOUR
AU - Camillo Trapani
TI - Bounded elements and spectrum in Banach quasi *-algebras
JO - Studia Mathematica
PY - 2006
VL - 172
IS - 3
SP - 249
EP - 273
AB - A normal Banach quasi *-algebra (,) has a distinguished Banach *-algebra $_{b}$ consisting of bounded elements of . The latter *-algebra is shown to coincide with the set of elements of having finite spectral radius. If the family () of bounded invariant positive sesquilinear forms on contains sufficiently many elements then the Banach *-algebra of bounded elements can be characterized via a C*-seminorm defined by the elements of ().
LA - eng
KW - quasi -algebra; -algebra; spectrum; sesquilinear form
UR - http://eudml.org/doc/284997
ER -