TY - JOUR
ID - 239
TI - On the relations between the point spectrum of A and invertibility of I + f(A)B
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Larki, H.
AU - Riazi, A.
AD - Islamic Azad University, Parand Branch
AD - Amirkabir University of Technology
Y1 - 2013
PY - 2013
VL - 39
IS - 1
SP - 97
EP - 106
KW - point spectrum
KW - rank-one operator
KW - invariant subspaces
DO -
N2 - 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.
UR - http://bims.iranjournals.ir/article_239.html
L1 - http://bims.iranjournals.ir/article_239_aa94bb32deb5aba560c323c06fd34102.pdf
ER -