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Maps preserving the ascent and descent of product of operators.
- Source :
-
Linear Algebra & its Applications . Aug2023, Vol. 671, p109-120. 12p. - Publication Year :
- 2023
-
Abstract
- Let B (X) be the algebra of all bounded linear operators on a complex or real Banach space X with dim X ≥ 3. In this paper, we characterize the maps from B (X) into itself which preserve the ascent of product of operators or, they preserve the descent of product of operators. It turns out that both problems are connected with preservers of the rank-one nilpotency of the product. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BANACH spaces
*COMMERCIAL space ventures
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 671
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 163618001
- Full Text :
- https://doi.org/10.1016/j.laa.2023.04.006