Some singular values and unitarily invariant norm inequalities concerning generalized inverses | Zendy

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Some singular values and unitarily invariant norm inequalities concerning generalized inverses

Author(s) -

Philip Maher

Publication year - 2007

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil0701099m

Subject(s) - mathematics , infimum and supremum , inequality , invariant (physics) , singular value , norm (philosophy) , pure mathematics , mathematical analysis , quantum mechanics , political science , law , mathematical physics , eigenvalues and eigenvectors , physics

We sharpen and extend inequalities concerning generalized inverses previously obtained for the von Neumann-Schatten, and supremum, norms. We sharpen those inequalities to obtain corresponding inequalities for singular values Si(·) for i=1,2…; and we extend those inequalities, for finite rank operators, to inequalities for an arbitrary unitarily invariant norm.

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