A characterization of The operator-valued triangle equality

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dc.creatorAndo, Tsuyoshi
dc.creatorHayashi, Tomohiro
dc.date2005-09-23
dc.date.accessioned2026-07-07T06:18:49Z
dc.date.available2026-07-07T06:18:49Z
dc.descriptionWe will show that for any two bounded linear operators $X,Y$ on a Hilbert space ${\frak H}$, if they satisfy the triangle equality $|X+Y|=|X|+|Y|$, there exists a partial isometry $U$ on ${\frak H}$ such that $X=U|X|$ and $Y=U|Y|$. This is a generalization of Thompson's theorem to the matrix case proved by using a trace.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0509539
dc.identifierhttp://arxiv.org/abs/math/0509539
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94868
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject47A05, 47A10, 47A12
dc.titleA characterization of The operator-valued triangle equality
dc.typetext

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