Quasi *-algebras of measurable operators

Fabio Bagarello; Camillo Trapani; Salvatore Triolo

Studia Mathematica (2006)

  • Volume: 172, Issue: 3, page 289-305
  • ISSN: 0039-3223

Abstract

top
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.

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.