Volume 11, Issue 4 (2-2026)
mmr 2026, 11(4): 104-113 |
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Soltani Renani S, Nemati M. (Weakly) Compact multipliers on closed ideals of convolution algebras of nuclear. mmr 2026; 11 (4) :104-113
URL: http://mmr.khu.ac.ir/article-1-3345-en.html
URL: http://mmr.khu.ac.ir/article-1-3345-en.html
1- Isfahan University of Technology , simasoltani@iut.ac.ir
2- Isfahan University of Technology
2- Isfahan University of Technology
Abstract: (164 Views)
The space of trace class or nuclear operators was noticed by Grothendieck. In recent years, Neufang defined a new product on the space of nuclear operators making it into a Banach algebra. Many scientists investigated the properties of this Banach algebra. In this article, we investigate the existence of (weakly) compact left and right multipliers on the closed ideal 
of the convolution algebra of nuclear operators. This characterize is employed to find a necessary and sufficient condition for to be an ideal in its second dual space, where the second dual is equipped with an Arens product.
Type of Study: S |
Subject:
Anal
Received: 2023/09/11 | Revised: 2026/02/26 | Accepted: 2025/12/15 | Published: 2026/02/26 | ePublished: 2026/02/26
Received: 2023/09/11 | Revised: 2026/02/26 | Accepted: 2025/12/15 | Published: 2026/02/26 | ePublished: 2026/02/26
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