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.
机构:
Hakim Sabzevari Univ, Fac Math & Comp Sci, Dept Math, POB 397, Sabzevar, IranHakim Sabzevari Univ, Fac Math & Comp Sci, Dept Math, POB 397, Sabzevar, Iran
Estaji, Ali Akbar
IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS,
2012,
7
(02):
: 53
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62