Polynomials of almost normal arguments in -algebras
Nikolai D. Filonov
Steklov Mathematical Institute, St. Petersburg, Russian FederationIlya Kachkovskiy
King's College, London, UK
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Abstract
The functional calculus for normal elements in -algebras is an important tool of analysis. We suggest an approximate substitute for such calculus for elements with the small self-commutator norm . We show that many properties of the functional calculus are conserved up to order .
Cite this article
Nikolai D. Filonov, Ilya Kachkovskiy, Polynomials of almost normal arguments in -algebras. J. Spectr. Theory 2 (2012), no. 4, pp. 355–371
DOI 10.4171/JST/33