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arXiv · 1505.07906

Radial Toeplitz operators on the Fock space and square-root-slowly oscillating sequences

Kevin Esmeral·Egor A. Maximenko
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Abstract

In this paper we show that the C*-algebra generated by radial Toeplitz operators with $L_{\infty}$-symbols acting on the Fock space is isometrically isomorphic to the C*-algebra of bounded sequences uniformly continuous with respect to the square-root-metric $ρ(j,k)=|\sqrt{\vphantom{jk}j}-\sqrt{\vphantom{jk}k}\,|$. More precisely, we prove that the sequences of eigenvalues of radial Toeplitz operators form a dense subset of the latter C*-algebra of sequences.

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Kevin Esmeral, Egor A. Maximenko. 2015-05-29. Radial Toeplitz operators on the Fock space and square-root-slowly oscillating sequences. https://doi.org/10.1007/s11785-016-0557-0

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