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Polynomials of almost-normal arguments in $C^*$-algebras
Polynomials of almost-normal arguments Operator Algebras
2011/9/23
Abstract: The functional calculus for normal elements in $C^*$-algebras is an important tool of Analysis. We suggest an approximate substitute for such calculus for elements $a$ with the small self-co...
Universal commutative operator algebras and transfer function realizations of polynomials
Universal commutative operator algebras transfer function realizations of polynomials
2010/12/15
To each finite-dimensional operator space E is associated a commutative operator algebra UC(E), so that E embeds completely isometrically in UC(E) and any completely contractive
map from E to bounded...