Some peculiarities of quaternionic linear spaces

Maria Elena Luna-Elizarrarás; Michael Shapiro

doi:10.1007/978-3-0348-0667-1_15

Some peculiarities of quaternionic linear spaces

Maria Elena Luna-Elizarrarás, Michael Shapiro

Escuela Superior de Física y Matemáticas (ESFM)

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

The aim of this paper is to provide a brief panorama of the subjects that have been considered in the development of quaternionic functional analysis. Since there are many similarities with classic functional analysis over real and complex numbers, it is focused on showing peculiarities which arise when one works with the basic objects in quaternionic situation: the notion of linearity, norm, inner product, linear operators and functionals, eigenvalues and eigenvectors.

Original language	English
Title of host publication	Operator Theory
Publisher	Springer Basel
Pages	1725-1743
Number of pages	19
Volume	2-2
ISBN (Electronic)	9783034806671
ISBN (Print)	9783034806664
DOIs	https://doi.org/10.1007/978-3-0348-0667-1_15
State	Published - 4 Aug 2015

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Some peculiarities of quaternionic linear spaces

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