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- W2366428850 abstract "As H is let to be a separable infinite dimensional Hilbert space and B(H) the Banach algebra of all bounded linear operators on H,the quasisimilarity-invariant subspaces of B(H) and quasisimilarity-preserving linear maps on B(H) is put to study.The study of this paper proved that the quasisimilarity-invariant subspaces of B(H) have three forms,that is {0},CI and B(H) and that every bounded linear surjective map on B(H) which is quasisimilarity-preserving is nonzero scalar multiple of either an automorphism or an anti-automorphism by using the method of linear operator approximation." @default.
- W2366428850 created "2016-06-24" @default.
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- W2366428850 date "2007-01-01" @default.
- W2366428850 modified "2023-09-26" @default.
- W2366428850 title "Quasisimialarity-preserving linear maps on B(H)" @default.
- W2366428850 hasPublicationYear "2007" @default.
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