Duality of the matrix transpose and matrix conjugate inverse maps

Duality of the matrix transpose and matrix conjugate inverse maps

Choi (1973) established a duality between the inversion and ad- junction of bounded invertible Hilbert space operators, giving analo- gies between the similarity and congruence relations. We discuss Choi’s results in the finite-dimensional setting and show that a similar duality can be found between...

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Main Author: Granario, Daryl Q.
Format: text
Published: Animo Repository 2022
Subjects:
Matrices
Hilbert space
Matrix inversion
Mathematics
Online Access:https://animorepository.dlsu.edu.ph/faculty_research/11359
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Institution: De La Salle University
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spelling oai:animorepository.dlsu.edu.ph:faculty_research-133482023-12-02T01:00:18Z Duality of the matrix transpose and matrix conjugate inverse maps Granario, Daryl Q. Choi (1973) established a duality between the inversion and ad- junction of bounded invertible Hilbert space operators, giving analo- gies between the similarity and congruence relations. We discuss Choi’s results in the finite-dimensional setting and show that a similar duality can be found between another pair of maps, the matrix transpose and the matrix conjugate-inverse maps. 2022-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/faculty_research/11359 Faculty Research Work Animo Repository Matrices Hilbert space Matrix inversion Mathematics
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
topic Matrices
Hilbert space
Matrix inversion
Mathematics
spellingShingle Matrices
Hilbert space
Matrix inversion
Mathematics
Granario, Daryl Q.
Duality of the matrix transpose and matrix conjugate inverse maps
description Choi (1973) established a duality between the inversion and ad- junction of bounded invertible Hilbert space operators, giving analo- gies between the similarity and congruence relations. We discuss Choi’s results in the finite-dimensional setting and show that a similar duality can be found between another pair of maps, the matrix transpose and the matrix conjugate-inverse maps.
format text
author Granario, Daryl Q.
author_facet Granario, Daryl Q.
author_sort Granario, Daryl Q.
title Duality of the matrix transpose and matrix conjugate inverse maps
title_short Duality of the matrix transpose and matrix conjugate inverse maps
title_full Duality of the matrix transpose and matrix conjugate inverse maps
title_fullStr Duality of the matrix transpose and matrix conjugate inverse maps
title_full_unstemmed Duality of the matrix transpose and matrix conjugate inverse maps
title_sort duality of the matrix transpose and matrix conjugate inverse maps
publisher Animo Repository
publishDate 2022
url https://animorepository.dlsu.edu.ph/faculty_research/11359
_version_ 1784863536397156352

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