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Thompson-type formulae

Document type: Articulo

Abstract

Let X and Y be two n×n Hermitian matrices. In the article Proof of a conjectured exponential formula (Linear Multilinear Algebra 19 (1986) 187-197) R.C. Thompson proved that there exist two n×n unitary matrices U and V such that eiXeiY=eiUXU*+VYV*. In this note we consider extensions of this result to compact operators as well as to operators in an embeddable II1 factor.

General information

Issue date: 2012
Document language: English
Journal: Journal of Functional Analysis; vol. 262, no. 4
Origin: Facultad de Ciencias Exactas
Others identifiers: eid:2-s2.0-84855221911
ISSN: 0022-1236
Pages: 1515-1528
xmlui.dri2xhtml.METS-1.0.item-dc-subject: Functional calculus ; Operator identity ; Unitary operators
Subjects: Ciencias Exactas ; Matemática

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Created: 23 de octubre de 2019
Available since: 23 de octubre de 2019
Please, use one of this identificators(URI) for cite o linking this item:
  • http://sedici.unlp.edu.ar/handle/10915/83914
  • https://doi.org/10.1016/j.jfa.2011.11.011

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