학술논문

Spectrum of weighted composition operators part VI: essential spectra of d-endomorphisms of Banach C(K)-modules.
Document Type
Article
Source
Positivity. Nov2021, Vol. 25 Issue 5, p2173-2219. 47p.
Subject
Composition operators
Circle
Rotational motion
Language
ISSN
1385-1292
Abstract
We investigate properties of essential spectra of disjointness preserving operators acting on Banach C(K)-modules. In particular, we prove that under some very mild conditions the upper semi-Fredholm spectrum of such an operator is rotation invariant. In the last part of the paper we provide a full description of the spectrum and the essential spectra of operators acting on Kaplansky modules of the form T = w U , where w ∈ C (K) , U is a d-isomorphism, and the spectrum of U is a subset of the unit circle. [ABSTRACT FROM AUTHOR]