Taylor Functional Calculus

Vladimír Müller ()
Additional contact information
Vladimír Müller: Mathematical Institute, Academy of Sciences of the Czech Republic

Chapter 42 in Operator Theory, 2015, pp 1181-1215 from Springer

Abstract: Abstract 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.

Keywords: Taylor Functional Calculus; Predicate Calculus; Taylor Spectrum; Joint Spectrum; Banach Space Operators (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0667-1_61

Ordering information: This item can be ordered from
http://www.springer.com/9783034806671

DOI: 10.1007/978-3-0348-0667-1_61

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().