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- W1989778862 abstract "With a view to studying perturbation bounds, the class of functions / for which df(A) = f(l}(A} and d(2^f(A) = ||/(%4)||, where dkf(A) (respectively/^)) denotes the fc-th Frechet (ordinary) derivative, k =1,2, has been investigated. §1. Intoroduction Let !? be the real space of self adjoint operators defined on a separable Hilbert space 3? and y+ be the subset of f? consisting of positive operators. If / is an open interval in 1?, let ^ be the set of elements of ^ with spectrum in /. Observe that ^ is an open convex subset of £f. Let / be a real valued measurable function defined on /. If A in ^ has" @default.
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- W1989778862 date "1997-01-01" @default.
- W1989778862 modified "2023-10-16" @default.
- W1989778862 title "Second order perturbation bounds" @default.
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- W1989778862 doi "https://doi.org/10.2977/prims/1195145533" @default.
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