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>...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2012 |
| País: | Argentina |
| Institución: | Universidad Nacional de La Plata |
| Repositorio: | SEDICI (UNLP) |
| Idioma: | inglés |
| OAI Identifier: | oai:sedici.unlp.edu.ar:10915/83914 |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/83914 |
| Access Level: | acceso abierto |
| Palabra clave: | Ciencias Exactas Matemática Functional calculus Operator identity Unitary operators |
| Sumario: | 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. |
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