Some Peculiarities of Quaternionic Linear Spaces

Maria Elena Luna-Elizarrarás () and Michael Shapiro ()
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Maria Elena Luna-Elizarrarás: Escuela Superior de Física y Matemáticas, del Instituto Politécnico Nacional, Departamento de Matemáticas
Michael Shapiro: Escuela Superior de Física y Matemáticas, del Instituto Politécnico Nacional, Departamento de Matemáticas

Chapter 61 in Operator Theory, 2015, pp 1725-1743 from Springer

Abstract: 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.

Keywords: Linear Space; Linear Subspace; Cross Norm; Pontryagin Space; Real Linear Space (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0667-1_15

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

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