×

Toeplitz operators with symbols from \(C+H^{\infty}\) in the spaces \(\ell\) p. (Russian. English summary) Zbl 0643.47029

The authors describe a closed subalgebra \(C_ p+H_ p^{\infty}\) of all multipliers on \(\ell\) p \((1<p<\infty)\) with the following property: A Toeplitz operator with symbol in \(C_ p+H_ p^{\infty}\) is a Fredholm operator in \(\ell\) p if and only if its symbol is invertible in \(C_ p+H_ p^{\infty}\). \(C_ 2+H_ 2^{\infty}=C+H^{\infty}\) holds.
Reviewer: K.-H.Förster

MSC:

47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
47A53 (Semi-) Fredholm operators; index theories
PDFBibTeX XMLCite