Quasi *-algebras of measurable operators

Fabio Bagarello, Camillo Trapani, and Salvatore Triolo. "Quasi *-algebras of measurable operators." Studia Mathematica 172.3 (2006): 289-305. <http://eudml.org/doc/285006>.

@article{FabioBagarello2006,
abstract = {Non-commutative $L^\{p\}$-spaces are shown to constitute examples of a class of Banach quasi *-algebras called CQ*-algebras. For p ≥ 2 they are also proved to possess a sufficient family of bounded positive sesquilinear forms with certain invariance properties. CQ*-algebras of measurable operators over a finite von Neumann algebra are also constructed and it is proven that any abstract CQ*-algebra (,₀) with a sufficient family of bounded positive tracial sesquilinear forms can be represented as a CQ*-algebra of this type.},
author = {Fabio Bagarello, Camillo Trapani, Salvatore Triolo},
journal = {Studia Mathematica},
keywords = {Banach -modules; non-commutative integration; partial algebras of operators},
language = {eng},
number = {3},
pages = {289-305},
title = {Quasi *-algebras of measurable operators},
url = {http://eudml.org/doc/285006},
volume = {172},
year = {2006},
}

TY - JOUR
AU - Fabio Bagarello
AU - Camillo Trapani
AU - Salvatore Triolo
TI - Quasi *-algebras of measurable operators
JO - Studia Mathematica
PY - 2006
VL - 172
IS - 3
SP - 289
EP - 305
AB - Non-commutative $L^{p}$-spaces are shown to constitute examples of a class of Banach quasi *-algebras called CQ*-algebras. For p ≥ 2 they are also proved to possess a sufficient family of bounded positive sesquilinear forms with certain invariance properties. CQ*-algebras of measurable operators over a finite von Neumann algebra are also constructed and it is proven that any abstract CQ*-algebra (,₀) with a sufficient family of bounded positive tracial sesquilinear forms can be represented as a CQ*-algebra of this type.
LA - eng
KW - Banach -modules; non-commutative integration; partial algebras of operators
UR - http://eudml.org/doc/285006
ER -