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- W2372230477 abstract "For two n×n Hermitian matrices Aand B,there is the well known Wielandt Hoffman inequality, n (λ_i-μ_i)~2≤‖A-B‖~~2_F, where λ_1≥λ_2≥…≥λ_n,μ_1≥μ_2≥…≥μ_n are the eigenvalues of Aand B, respectively,and ‖·‖_Fis the Frobenius norm.In this paper,this inequality is generalized to the separable complex infinite dimensional Hilbert space. For the Hilbert-Schmidt operators,the following situations are considered respectively: Aand Bare both positive operators, Aand Bare Hermitian operators,and Aand Bare both finite rank Hermitian operators. Then corresponding inequalities are obtained." @default.
- W2372230477 created "2016-06-24" @default.
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- W2372230477 date "2004-01-01" @default.
- W2372230477 modified "2023-09-26" @default.
- W2372230477 title "On generalization of the Wielandt & Hoffman inequality" @default.
- W2372230477 hasPublicationYear "2004" @default.
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