Operator Theory

0447303 - MÚ 2016 RIV CH eng M - Část monografie knihy
Müller, Vladimír
Taylor functional calculus.
Operator Theory. Basel: Springer, 2015 - (Alpay, D.), s. 1181-1215. ISBN 978-3-0348-0666-4
Institucionální podpora: RVO:67985840
Klíčová slova: Taylor spectrum * Taylor functional calculus * split spectrum
Kód oboru RIV: BA - Obecná matematika
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.
Trvalý link: http://hdl.handle.net/11104/0249161