Second Order Perturbation Bounds | Zendy

Vikas Bist | Zendy; Harkrishan Lal Vasudeva | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Second Order Perturbation Bounds

Author(s) -

Vikas Bist,

Harkrishan Lal Vasudeva

Publication year - 1997

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195145533

Subject(s) - mathematics , perturbation (astronomy) , order (exchange) , mathematical analysis , pure mathematics , physics , quantum mechanics , economics , finance

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research