Polynomials of almost-normal arguments in $C^*$-algebras

Details Polynomials of almost-normal arguments in $C^*$-algebras Polynomials of almost-normal arguments in $C^*$-algebras

2011-07-29

arxiv.org/abs/1107.6010v2

Mathematics

Operator Algebras

The paper has been restructured. Accepted for publication in Journal of Spectral Theory, European Mathematical Society

Scientific paper

The functional calculus for normal elements in $C^*$-algebras is an important
tool of analysis. We consider polynomials $p(a,a^*)$ for elements $a$ with
small self-commutator norm $\|[a,a^*]\| \le \delta$ and show that many
properties of the functional calculus are retained modulo an error of order
$\delta$.

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