Bounded elements in certain topological partial *-algebras

Jean-Pierre Antoine, Camillo Trapani, and Francesco Tschinke. "Bounded elements in certain topological partial *-algebras." Studia Mathematica 203.3 (2011): 223-251. <http://eudml.org/doc/285548>.

@article{Jean2011,
abstract = {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 ℳ-bounded. Finally, some remarks are made concerning representations in terms of so-called partial GC*-algebras of operators.},
author = {Jean-Pierre Antoine, Camillo Trapani, Francesco Tschinke},
journal = {Studia Mathematica},
keywords = {bounded elements; partial -algebras; partial multiplications; partial -algebras},
language = {eng},
number = {3},
pages = {223-251},
title = {Bounded elements in certain topological partial *-algebras},
url = {http://eudml.org/doc/285548},
volume = {203},
year = {2011},
}

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
VL - 203
IS - 3
SP - 223
EP - 251
AB - 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 ℳ-bounded. Finally, some remarks are made concerning representations in terms of so-called partial GC*-algebras of operators.
LA - eng
KW - bounded elements; partial -algebras; partial multiplications; partial -algebras
UR - http://eudml.org/doc/285548
ER -