Yavuz, Onur (2010) A reflexivity result concerning banach space operators with a multiply connected spectrum. Integral Equations and Operator Theory, 68 (4). pp. 473485. ISSN 0378620X (Print) 14208989 (Online)
This is the latest version of this item.
Official URL: http://dx.doi.org/10.1007/s0002001018183
Abstract
We consider a multiply connected domain Ω which is obtained by removing n closed disks which are centered at λ j with radius r j for j = 1, . . . , n from the unit disk. We assume that T is a bounded linear operator on a separable reflexive Banach space 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 either T has a nontrivial hyperinvariant subspace or the WOTclosure of the algebra {f(T) : f is a rational function with poles off $${\overline\Omega}$$} is reflexive.
Item Type:  Article 

Uncontrolled Keywords:  Invariant subspaces  reflexive operator algebras  polynomially bounded operators  functional calculus 
Subjects:  Q Science > QA Mathematics > QA299.6433 Analysis 
Divisions:  Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences 
Depositing User:  Onur Yavuz 
Date Deposited:  03 Jan 2011 16:43 
Last Modified:  29 Jul 2019 12:05 
URI:  https://research.sabanciuniv.edu/id/eprint/16270 
Available Versions of this Item

A reflexivity result concerning banach space operators with a multiply connected spectrum. (deposited 21 Jul 2010 10:05)
 A reflexivity result concerning banach space operators with a multiply connected spectrum. (deposited 03 Jan 2011 16:43) [Currently Displayed]