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

Nikolay Filonov; Ilya Kachkovskiy

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

Operator Algebras 2012-02-13 v2 Algebraic Geometry Spectral Theory

Authors: Nikolay Filonov , Ilya Kachkovskiy

Abstract

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 $\delta$ .

Keywords

polynomial theory c*-algebras rational functions

Cite

@article{arxiv.1107.6010,
  title  = {Polynomials of almost-normal arguments in $C^*$-algebras},
  author = {Nikolay Filonov and Ilya Kachkovskiy},
  journal= {arXiv preprint arXiv:1107.6010},
  year   = {2012}
}

Comments

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

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

Abstract

Keywords

Cite

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