Rank-one operators in reflexive one-sidedA-submodules
β Scribed by Dong Zhe
- Publisher
- Indian Academy of Sciences
- Year
- 2004
- Tongue
- English
- Weight
- 167 KB
- Volume
- 114
- Category
- Article
- ISSN
- 0253-4142
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π SIMILAR VOLUMES
Let A be a standard operator algebra acting on a (real or complex) normed space E. For two n-tuples A = (A 1 , . . . , A n ) and B = (B 1 , . . . , B n ) of elements in A, we define the elementary operator R A,B on A by the relation R A,B (X) = n i=1 A i XB i for all X in A. For a single operator A
Let B(X) be the algebra of bounded operators on a complex infinite dimensional Banach space X, and F (X) be the subalgebra of all finite rank operators in B(X). A characterization of additive mappings on F (X) which preserve rank one nilpotent operators in both directions is given. As applications o