Linear preservers of weak majorization on ℓ1(I)+, when I is an infinite set
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- 作者：Martin Ljubenovića ; martinljubenovic@gmail.com ; Dragan S. Djordjevićb ; 1 ; dragan@pmf.ni.ac.rs
- 关键词：47B60 ; 15A86 ; 15B51 ; 47B38
- 刊名：Linear Algebra and its Applications
- 出版年：2017
- 出版时间：15 March 2017
- 年：2017
- 卷：517
- 期：Complete
- 页码：177-198
- 全文大小：453 K
- 卷排序：517
文摘
The necessary and sufficient conditions that a bounded linear map on the Banach space ℓ1(I)ℓ1(I), may be considered as a linear preserver of weak majorization on ℓ1(I)+ℓ1(I)+, where I is an arbitrary infinite set, are given. Also, we prove that the set of all linear preservers of weak majorization is closed under the norm topology.