The Ideal of σ-Nuclear Operators and Its Associated Tensor Norm-Reference-Cited by-同舟云学术

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The Ideal of σ-Nuclear Operators and Its Associated Tensor Norm

Published:2020-07-20 Issue:7 Volume:8 Page:1192
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Kim Ju Myung,Lee Keun Young

Abstract

We introduce a new tensor norm ( σ -tensor norm) and show that it is associated with the ideal of σ -nuclear operators. In this paper, we investigate the ideal of σ -nuclear operators and the σ -tensor norm.

Funder

National Research Foundation of Korea

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/8/7/1192/pdf

Reference5 articles.

1. Introduction to Tensor Products of Banach Spaces;Ryan,2002

2. Tensor Norms and Operator Ideals;Defant,1993

3. Operator Ideals;Pietsch,1980

4. Produits tensoriels topologiques et espaces nucléaires;Grothendieck;Am. Math. Soc.,1955

5. Absolutely Summing Operators;Diestel,1995

Cited by 2 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. The ασ-Approximation Property and Its Related Operator Ideals;Mathematics;2024-06-28

2. Some Generalized Versions of Chevet–Saphar Tensor Norms;Mathematics;2022-08-01

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