Quaternionic functional analysis

Daniel Alpay, Fabrizio Colombo, Irene Sabadini

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


To develop Schur analysis in the slice hyperholomophic setting, a number of facts and results from quaternionic functional analysis for which no references were available are needed. These are developed in the present chapter, largely taken from [35]. Most of the results can be proved with the same arguments as in the classical case, since they do not rely on specific properties of complex numbers that do not hold for quaternions. In some cases we repeat here the arguments to show that indeed they carry out.

Original languageEnglish
Title of host publicationOperator Theory
Subtitle of host publicationAdvances and Applications
PublisherSpringer International Publishing
Number of pages45
StatePublished - 1 Jan 2016
Externally publishedYes

Publication series

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

ASJC Scopus subject areas

  • Analysis


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