The weak* density in operator ideals

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:485

Article

Kim, Ju Myung¹ 

[1] Sejong Univ, Dept Math & Stat, Seoul 05006, South Korea

关键词: Banach operator ideal;    Tensor norm;    Weak* density;   

DOI  :  10.1016/j.jmaa.2019.123831

来源: Elsevier

【 摘 要 】

Given a finitely generated tensor norm a, we investigate weak* densities of adjoint operators in the Banach operator ideal A associated with a. We also study relations between the a-approximation properties and weak* densities of finite rank adjoint operators in A. Some examples are given satisfying that all adjoint operators are not weak* dense in the ideal of compact operators. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free