The Soft Torus II: A Variational Analysis of Commutator Norms

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The 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.
14 pages, plain TeX, UNM-RE-003

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Functional Analysis, Operator Algebras

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http://salesiana.dossiersoluciones.com/handle/123456789/152306

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/funct-an/9212004
 http://arxiv.org/abs/funct-an/9212004

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arXiv