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Operator Theory
- 1.0447303 - MÚ 2016 RIV CH eng M - Monography Chapter
Müller, Vladimír
Taylor functional calculus.
Operator Theory. Basel: Springer, 2015 - (Alpay, D.), s. 1181-1215. ISBN 978-3-0348-0666-4
Institutional support: RVO:67985840
Keywords : Taylor spectrum * Taylor functional calculus * split spectrum
Subject RIV: BA - General Mathematics
http://link.springer.com/referenceworkentry/10.1007/978-3-0348-0667-1_61
The notion of spectrum of an operator is one of the central concepts of operator theory. It is closely connected with the existence of a functional calculus which provides important information about the structure of Banach space operators.The situation for commuting n -tuples of Banach space operators is much more complicated. There are many possible definitions of joint spectra. However, the joint spectrum introduced by J.L. Taylor has a distinguished property—there exists a functional calculus for functions analytic on a neighborhood of this spectrum.The present paper gives a survey of basic properties of the Taylor spectrum and Taylor functional calculus.
Permanent Link: http://hdl.handle.net/11104/0249161
File Download Size Commentary Version Access Muller4.pdf 2 299.3 KB Publisher’s postprint require
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