论文信息 - Some inequalities for commutators and an application to spectral variation. II

Some inequalities for commutators and an application to spectral variation. II

Inequalities that compare unitarily invariant norms of A − B and those of AΓ − ΓB and Γ−1 A − B Γ−1 are obtained, where both A and B are either Hermitian or unitary or normal operators and Γ is a positive definite operator in a complex separable Hilbert space. These inequalities are then applied to derive bounds for spectral variation of diagonalisable matrices. Our new bounds improve substantially previously published bounds.

Ren-Cang Li | R. Bhatia | F. Kittaneh

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