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Zapiski Nauchnykh Seminarov LOMI, 1987, Volume 157, Pages 124–128
(Mi znsl5209)
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Short communications
Toeplitz operators with $C+H^\infty$ symbols on $l^p$
A. Böttcher, B. Silbermann
Abstract:
We show that the algebra of all multipliers on $l^p$ $(1<p<\infty)$ contains a closed subalgebra, $C_p+H_p^\infty$, which coincides with the familiar algebra $C+H^\infty$ in the case $p=2$. We also prove that a Toeplitz operator with $C_p+H_p^\infty$ symbol is Fredholm on $l^p$ if and only if its symbol is invertible in $C_p+H_p^\infty$.
Citation:
A. Böttcher, B. Silbermann, “Toeplitz operators with $C+H^\infty$ symbols on $l^p$”, Investigations on linear operators and function theory. Part XVI, Zap. Nauchn. Sem. LOMI, 157, "Nauka", Leningrad. Otdel., Leningrad, 1987, 124–128
Linking options:
https://www.mathnet.ru/eng/znsl5209 https://www.mathnet.ru/eng/znsl/v157/p124
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Statistics & downloads: |
Abstract page: | 153 | Full-text PDF : | 56 |
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