<abstract xmlns="http://www.w3.org/1999/xhtml">

We study, from a quite general point of view, a CQ*-algebra (X, 𝖀0) possessing a sufficient family of bounded positive tracial sesquilinear forms. Non-commutative <italic>L</italic>2-spaces are shown to constitute examples of a class of CQ*-algebras and any abstract CQ*-algebra (X, 𝖀0) possessing a sufficient family of bounded positive tracial sesquilinear forms can be represented as a direct sum of non-commutative <italic>L</italic>2-spaces.
</abstract>

We study, from a quite general point of view, a CQ*-algebra (X, 𝖀0) possessing a sufficient family of bounded positive tracial sesquilinear forms. Non-commutative L2-spaces are shown to constitute examples of a class of CQ*-algebras and any abstract CQ*-algebra (X, 𝖀0) possessing a sufficient family of bounded positive tracial sesquilinear forms can be represented as a direct sum of non-commutative L2-spaces.

CQ *-algebras of measurable operators

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"CQ *-algebras of measurable operators"}

We study, from a quite general point of view, a CQ*-algebra (X, 𝖀0) possessing a sufficient family of bounded positive tracial sesquilinear forms....

CQ *-algebras of measurable operators

Published Online: May 28, 2022

Page range: 279 - 285

Received: May 08, 2022

Accepted: May 23, 2022

DOI: https://doi.org/10.2478/mjpaa-2022-0019

Keywords
Banach C*-modules, Non commutative integration, Partial algebras of operators

© 2022 Salvatore Triolo, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

CQ *-algebras of measurable operators

Published Online: May 28, 2022

Page range: 279 - 285

Received: May 08, 2022

Accepted: May 23, 2022

DOI: https://doi.org/10.2478/mjpaa-2022-0019

KeywordsBanach C*-modules, Non commutative integration, Partial algebras of operators

© 2022 Salvatore Triolo, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Banach C*-modules, Non commutative integration, Partial algebras of operators