Bounded elements in certain topological partial $^*$-algebras
Studia Mathematica, Tome 203 (2011) no. 3, pp. 223-251
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We continue our study of topological partial $^*$-algebras, focusing
on the interplay between various
partial multiplications. The special case of partial $^*$-algebras of operators is examined first, in particular the link between
strong and weak multiplications, on one hand, and invariant positive sesquilinear (ips) forms, on the other.
Then the analysis is extended to abstract topological partial $^*$-algebras, emphasizing the crucial role played by appropriate bounded elements, called
$\cal M$-bounded. Finally, some remarks are made concerning representations in terms of so-called partial
$GC^*$-algebras of operators.
Keywords:
continue study topological partial * algebras focusing interplay between various partial multiplications special partial * algebras operators examined first particular link between strong weak multiplications invariant positive sesquilinear ips forms other analysis extended abstract topological partial * algebras emphasizing crucial role played appropriate bounded elements called cal m bounded finally remarks made concerning representations terms so called partial * algebras operators
Affiliations des auteurs :
Jean-Pierre Antoine 1 ; Camillo Trapani 2 ; Francesco Tschinke 3
@article{10_4064_sm203_3_2,
author = {Jean-Pierre Antoine and Camillo Trapani and Francesco Tschinke},
title = {Bounded elements in certain topological partial $^*$-algebras},
journal = {Studia Mathematica},
pages = {223--251},
year = {2011},
volume = {203},
number = {3},
doi = {10.4064/sm203-3-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm203-3-2/}
}
TY - JOUR AU - Jean-Pierre Antoine AU - Camillo Trapani AU - Francesco Tschinke TI - Bounded elements in certain topological partial $^*$-algebras JO - Studia Mathematica PY - 2011 SP - 223 EP - 251 VL - 203 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4064/sm203-3-2/ DO - 10.4064/sm203-3-2 LA - en ID - 10_4064_sm203_3_2 ER -
%0 Journal Article %A Jean-Pierre Antoine %A Camillo Trapani %A Francesco Tschinke %T Bounded elements in certain topological partial $^*$-algebras %J Studia Mathematica %D 2011 %P 223-251 %V 203 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4064/sm203-3-2/ %R 10.4064/sm203-3-2 %G en %F 10_4064_sm203_3_2
Jean-Pierre Antoine; Camillo Trapani; Francesco Tschinke. Bounded elements in certain topological partial $^*$-algebras. Studia Mathematica, Tome 203 (2011) no. 3, pp. 223-251. doi: 10.4064/sm203-3-2
Cité par Sources :