CQ *-algebras of measurable operators-Reference-Cited by-同舟云学术

CQ *-algebras of measurable operators

Published:2022-05-01 Issue:2 Volume:8 Page:279-285
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Triolo Salvatore¹

Affiliation:

1. Dipartimento di Ingegneria , Università di Palermo , Palermo ( Italy ).

Abstract

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 L 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 L 2-spaces.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2022-0019

Reference24 articles.

1. [1] J.-P. Antoine, A. Inoue, C. Trapani, Partial *-algebras and their Operator Realizations, Kluwer, Dordrecht, 2002.10.1007/978-94-017-0065-8

2. [2] F. Bagarello, F. Gargano and S. Triolo Coordinate representation for non-Hermitian position and momentum operators Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Volume 473, Issue 2205 September 2017 Article number 20170434.10.1098/rspa.2017.0434

3. [3] F. Bagarello, A. Inoue and C. Trapani, Some classes of topological quasi *-algebras, Proc. Amer. Math. Soc., 129 (2001), 2973–2980.10.1090/S0002-9939-01-06019-1

4. [4] F. Bagarello, C. Trapani, States and representations of CQ* -algebras, Ann. Inst. H. Poincaré 61, (1994), 103–133.

5. [5] F. Bagarello and C. Trapani, Lp-spaces as quasi *-algebras, J.Math. Anal. Appl. 197 (1996), 810–824.10.1006/jmaa.1996.0055

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some Classes of Quasi *-algebras;WSEAS TRANSACTIONS ON MATHEMATICS;2022-08-01