Ülger, Ali and Yavuz, Onur (2011) A fredholm alternativelike result on power bounded operators. Turkish Journal of Mathematics, 35 (3). pp. 473478. ISSN 13000098
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Official URL: http://dx.doi.org/10.3906/mat091268
Abstract
Let X be a complex Banach space and T : X > X be a power bounded operator, i.e., sup(n >= 0) parallel to T(m)parallel to < infinity. We write B(X) for the Banach algebra of all bounded linear operators on X. We prove that the space Ran(I  T) is closed if and only if there exist a projection theta is an element of B(X) and an invertible operator R is an element of B(X) such that I  T = theta R = R theta. This paper also contains some consequences of this result.
Item Type:  Article 

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:  18 Nov 2011 22:06 
Last Modified:  30 Jul 2019 14:33 
URI:  https://research.sabanciuniv.edu/id/eprint/17463 
Available Versions of this Item

A fredholm alternativelike result on power bounded operators. (deposited 21 Jul 2010 10:01)
 A fredholm alternativelike result on power bounded operators. (deposited 18 Nov 2011 22:06) [Currently Displayed]