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- W2031391356 abstract "Let X and Y be Banach spaces and B(X) and B(Y ) the algebras of all bounded linear operators on X and Y , respectively. We say that A,B 2 B(X) quasi- commute if there exists a nonzero scalar ! such that AB = !BA. We characterize bijective linear maps � : B(X) ! B(Y ) preserving quasi-commutativity. In fact, such a character- ization can be proved for much more general algebras. In the finite-dimensional case the same result can be obtained without the bijectivity assumption." @default.
- W2031391356 created "2016-06-24" @default.
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- W2031391356 date "2008-01-01" @default.
- W2031391356 modified "2023-10-14" @default.
- W2031391356 title "Linear maps preserving quasi-commutativity" @default.
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- W2031391356 doi "https://doi.org/10.4064/sm184-2-7" @default.
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