Abstract
In this paper we show that the C*-algebra generated by radial Toeplitz operators with L∞-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)=|j-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.
Original language | English |
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Pages (from-to) | 1655-1677 |
Number of pages | 23 |
Journal | Complex Analysis and Operator Theory |
Volume | 10 |
Issue number | 7 |
DOIs | |
State | Published - 1 Oct 2016 |
Keywords
- Fock space
- Radial
- Slowly oscillating sequence
- Toeplitz operator