C*-seminorms on partial *-algebras: an overview

Camillo Trapani. "C*-seminorms on partial *-algebras: an overview." Banach Center Publications 67.1 (2005): 369-384. <http://eudml.org/doc/282492>.

@article{CamilloTrapani2005,
abstract = {The main facts about unbounded C*-seminorms on partial *-algebras are reviewed and the link with the representation theory is discussed. In particular, starting from the more familiar case of *-algebras, we examine C*-seminorms that are defined from suitable families of positive linear or sesquilinear forms, mimicking the construction of the Gelfand seminorm for Banach *-algebras. The admissibility of these forms in terms of the (unbounded) C*-seminorms they generate is characterized.},
author = {Camillo Trapani},
journal = {Banach Center Publications},
keywords = {unbounded -seminorms; partial *-algebras; quasi *-algebras; biweights},
language = {eng},
number = {1},
pages = {369-384},
title = {C*-seminorms on partial *-algebras: an overview},
url = {http://eudml.org/doc/282492},
volume = {67},
year = {2005},
}

TY - JOUR
AU - Camillo Trapani
TI - C*-seminorms on partial *-algebras: an overview
JO - Banach Center Publications
PY - 2005
VL - 67
IS - 1
SP - 369
EP - 384
AB - The main facts about unbounded C*-seminorms on partial *-algebras are reviewed and the link with the representation theory is discussed. In particular, starting from the more familiar case of *-algebras, we examine C*-seminorms that are defined from suitable families of positive linear or sesquilinear forms, mimicking the construction of the Gelfand seminorm for Banach *-algebras. The admissibility of these forms in terms of the (unbounded) C*-seminorms they generate is characterized.
LA - eng
KW - unbounded -seminorms; partial *-algebras; quasi *-algebras; biweights
UR - http://eudml.org/doc/282492
ER -