The S-spectrum and the S-functional calculus

Fabrizio Colombo, Jonathan Gantner, David P. Kimsey

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

22 Scopus citations

Abstract

The fundamental difficulty in developing a mathematically rigorous theory of quaternionic linear operators was the identification of suitable notions of quaternionic spectrum and quaternionic resolvent operator. In this chapter we study the properties of the S-spectrum and the S-resolvent operators, and we introduce the quaternionic S-functional calculus.

Original languageEnglish
Title of host publicationOperator Theory
Subtitle of host publicationAdvances and Applications
PublisherSpringer International Publishing
Pages53-74
Number of pages22
DOIs
StatePublished - 1 Jan 2018
Externally publishedYes

Publication series

NameOperator Theory: Advances and Applications
Volume270
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

ASJC Scopus subject areas

  • Analysis

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