Perturbation analysis of $A_{T,S}^{(2)}$ on Hilbert spaces

Publication date: 19 December 2016

Abstract: In this paper, we investigate the perturbation analysis of

A_{T, S}^{(2)}

when

T,, S

and

A

have some small perturbations on Hilbert spaces. We present the conditions that make the perturbation of

A_{T, S}^{(2)}

is stable. The explicit representation for the perturbation of

A_{T, S}^{(2)}

and the perturbation bounds are also obtained.