The S-functional calculus for unbounded operators

Fabrizio Colombo, Jonathan Gantner, David P. Kimsey

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

Abstract

The S-functional calculus can also be defined for unbounded operators. We consider a two-sided quaternionic Banach space X and we introduce a notation for the set of unbounded operators that we consider in this chapter. These results are taken from the papers [67,97], where we reduce the case of unbounded operators, with suitable transformations, to the case of bounded operators. The direct approach has been studied in the more recent paper [124], while the S-resolvent equation is in [50].

Original languageEnglish
Title of host publicationOperator Theory
Subtitle of host publicationAdvances and Applications
PublisherSpringer International Publishing
Pages125-136
Number of pages12
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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