Tensor products of normed and Banach quasi *-algebras

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:490

Article

Adamo, Maria Stella¹  Fragoulopoulou, Maria² 

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[2] Univ Athens, Dept Math, Athens 15784, Greece

关键词: Normed and Banach quasi *-algebra;    Representable linear functional;    Sesquilinear form;    *-Semisimplicity;    Full representability;    Tensor product normed and Banach quasi *-algebra;   

DOI  :  10.1016/j.jmaa.2020.124323

来源: Elsevier

【 摘 要 】

Quasi *-algebras form an essential class of partial *-algebras, which are algebras of unbounded operators. In this work, we aim to construct tensor products of normed, respectively Banach quasi *-algebras, and study their capacity to preserve some important properties of their tensor factors, like for instance, *-semisimplicity and full representability. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free