The Soft Torus II: A Variational Analysis of Commutator Norms

Simple item page
dc.creatorExel, Ruy
dc.date1992-12-19
dc.date.accessioned2026-07-07T09:13:23Z
dc.date.available2026-07-07T09:13:23Z
dc.descriptionThe field of C*-algebras over the interval [0,2] for which the fibers are the Soft Tori is shown to be continuous. This result is applied to show that any pair of non-commuting unitary operators can be perturbed (in a weak sense) in such a way to decrease the commutator norm. Perturbations in norm are also considered and a characterization is given for pairs of unitary operators which are local minimum points for the commutator norm in the finite dimensional case.
dc.description14 pages, plain TeX, UNM-RE-003
dc.identifierhttps://arxiv.org/abs/funct-an/9212004
dc.identifierhttp://arxiv.org/abs/funct-an/9212004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152306
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.titleThe Soft Torus II: A Variational Analysis of Commutator Norms
dc.typetext

Files

Collections

arXiv