%0 Journal Article
%T On the relations between the point spectrum of A and invertibility of I + f(A)B
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Larki, H.
%A Riazi, A.
%D 2013
%\ 03/01/2013
%V 39
%N 1
%P 97-106
%! On the relations between the point spectrum of A and invertibility of I + f(A)B
%K point spectrum
%K rank-one operator
%K invariant subspaces
%R
%X Let A be a bounded linear operator on a Banach space X. We investigate the conditions of existing rank-one operator B such that I+f(A)B is invertible for every analytic function f on sigma(A). Also we compare the invariant subspaces of f(A)B and B. This work is motivated by an operator method on the Banach space ell^2 for solving some PDEs which is extended to general operator space under some conditions in this paper.
%U http://bims.iranjournals.ir/article_239_aa94bb32deb5aba560c323c06fd34102.pdf