@article {
author = {Larki, H. and Riazi, A.},
title = {On the relations between the point spectrum of A and invertibility of I + f(A)B},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {39},
number = {1},
pages = {97-106},
year = {2013},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {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.},
keywords = {point spectrum,rank-one operator,invariant subspaces},
url = {http://bims.iranjournals.ir/article_239.html},
eprint = {http://bims.iranjournals.ir/article_239_aa94bb32deb5aba560c323c06fd34102.pdf}
}