Invariant Subspaces for Banach Space Operators with a Multiply Connected Spectrum |
| |
Authors: | Onur Yavuz |
| |
Institution: | (1) Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey |
| |
Abstract: | We consider a multiply connected domain
where
denotes the unit disk and
denotes the closed disk centered at
with radius r
j
for j = 1, . . . , n. We show that if T is a bounded linear operator on a Banach space X whose spectrum contains ∂Ω and does not contain the points λ1, λ2, . . . , λ
n
, and the operators T and r
j
(T − λ
j
I)−1 are polynomially bounded, then there exists a nontrivial common invariant subspace for T
* and (T − λ
j
I)*-1. |
| |
Keywords: | Primary 47A15 Secondary 47A60 |
本文献已被 SpringerLink 等数据库收录! |
|