Ternary operator categories

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:505

Article

Pluta, Robert^1,2  Russo, Bernard¹ 

[1] UC Irvine, Dept Math, Irvine, CA 92697 USA

[2] Whenzhou Kean Univ, Whenzhou, Peoples R China

关键词: Ternary ring of operators;    C*-ternary ring;    Associative triple system;    Hilbert module;    Ternary category;    Arens multiplication;   

DOI  :  10.1016/j.jmaa.2021.125590

来源: Elsevier

【 摘 要 】

T*-categories are introduced as a ternary generalization of C*-categories. Their linking C*-categories are constructed and the Gelfand-Naimark representation theorems of Zettl for C*-ternary rings and for W*-ternary rings, are generalized to T*-categories. Biduals of C*-categories and of T*-categories are considered. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free