On Quasi Gyrolinear Maps between Möbius Gyrovector Spaces Induced from Finite Matrices

On Quasi Gyrolinear Maps between Möbius Gyrovector Spaces Induced from Finite Matrices

We present some fundamental results concerning to continuous quasi gyrolinear operators between Möbius gyrovector spaces induced by finite matrices. Such mappings are significant like as operators induced by matrices between finite dimensional Hilbert spaces. This gives a novel approach to the study...

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Bibliographic Details
Main Author: Keiichi Watanabe
Format: Article
Language:English
Published: MDPI AG 2021-01-01
Series:Symmetry
Subjects:
gyrogroup
Möbius gyrovector space
matrix
operator
Online Access:https://www.mdpi.com/2073-8994/13/1/76
id doaj-6fdd0ddefa97498c88edd993f84db8b0
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spelling doaj-6fdd0ddefa97498c88edd993f84db8b02021-01-05T00:03:29ZengMDPI AGSymmetry2073-89942021-01-0113767610.3390/sym13010076On Quasi Gyrolinear Maps between Möbius Gyrovector Spaces Induced from Finite MatricesKeiichi Watanabe0Department of Mathematics, Faculty of Science, Niigata University, Niigata 950-2181, JapanWe present some fundamental results concerning to continuous quasi gyrolinear operators between Möbius gyrovector spaces induced by finite matrices. Such mappings are significant like as operators induced by matrices between finite dimensional Hilbert spaces. This gives a novel approach to the study of mappings between Möbius gyrovector spaces that should correspond to bounded linear operators on real Hilbert spaces.https://www.mdpi.com/2073-8994/13/1/76gyrogroupMöbius gyrovector spacematrixoperator
collection DOAJ
language English
format Article
sources DOAJ
author Keiichi Watanabe
spellingShingle Keiichi Watanabe
On Quasi Gyrolinear Maps between Möbius Gyrovector Spaces Induced from Finite Matrices
Symmetry
gyrogroup
Möbius gyrovector space
matrix
operator
author_facet Keiichi Watanabe
author_sort Keiichi Watanabe
title On Quasi Gyrolinear Maps between Möbius Gyrovector Spaces Induced from Finite Matrices
title_short On Quasi Gyrolinear Maps between Möbius Gyrovector Spaces Induced from Finite Matrices
title_full On Quasi Gyrolinear Maps between Möbius Gyrovector Spaces Induced from Finite Matrices
title_fullStr On Quasi Gyrolinear Maps between Möbius Gyrovector Spaces Induced from Finite Matrices
title_full_unstemmed On Quasi Gyrolinear Maps between Möbius Gyrovector Spaces Induced from Finite Matrices
title_sort on quasi gyrolinear maps between möbius gyrovector spaces induced from finite matrices
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2021-01-01
description We present some fundamental results concerning to continuous quasi gyrolinear operators between Möbius gyrovector spaces induced by finite matrices. Such mappings are significant like as operators induced by matrices between finite dimensional Hilbert spaces. This gives a novel approach to the study of mappings between Möbius gyrovector spaces that should correspond to bounded linear operators on real Hilbert spaces.
topic gyrogroup
Möbius gyrovector space
matrix
operator
url https://www.mdpi.com/2073-8994/13/1/76
work_keys_str_mv AT keiichiwatanabe onquasigyrolinearmapsbetweenmobiusgyrovectorspacesinducedfromfinitematrices
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