Thompson-type formulae

Let X and Y be two n×n Hermitian matrices. In the article <i>Proof of a conjectured exponential formula</i> (Linear Multilinear Algebra 19 (1986) 187-197) R.C. Thompson proved that there exist two n×n unitary matrices U and V such that e<SUP>iX</SUP>e<SUP>iY</SUP>...

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Autores principales: Antezana, Jorge Abel, Larotonda, Gabriel, Varela, Alejandro
Formato: Articulo
Lenguaje:Inglés
Publicado: 2012
Materias:
Ciencias Exactas
Matemática
Functional calculus
Operator identity
Unitary operators
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/83914
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-83914
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Matemática
Functional calculus
Operator identity
Unitary operators
spellingShingle Ciencias Exactas
Matemática
Functional calculus
Operator identity
Unitary operators
Antezana, Jorge Abel
Larotonda, Gabriel
Varela, Alejandro
Thompson-type formulae
topic_facet Ciencias Exactas
Matemática
Functional calculus
Operator identity
Unitary operators
description Let X and Y be two n×n Hermitian matrices. In the article <i>Proof of a conjectured exponential formula</i> (Linear Multilinear Algebra 19 (1986) 187-197) R.C. Thompson proved that there exist two n×n unitary matrices U and V such that e<SUP>iX</SUP>e<SUP>iY</SUP>=e<SUP>iUXU*+VYV*</SUP>. In this note we consider extensions of this result to compact operators as well as to operators in an embeddable II<SUB>1</SUB> factor.
format Articulo
Articulo
author Antezana, Jorge Abel
Larotonda, Gabriel
Varela, Alejandro
author_facet Antezana, Jorge Abel
Larotonda, Gabriel
Varela, Alejandro
author_sort Antezana, Jorge Abel
title Thompson-type formulae
title_short Thompson-type formulae
title_full Thompson-type formulae
title_fullStr Thompson-type formulae
title_full_unstemmed Thompson-type formulae
title_sort thompson-type formulae
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/83914
work_keys_str_mv AT antezanajorgeabel thompsontypeformulae
AT larotondagabriel thompsontypeformulae
AT varelaalejandro thompsontypeformulae
bdutipo_str Repositorios
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