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This article is cited in 3 scientific papers (total in 3 papers)
Spectrum, similarity, and invariant subspaces of Toeplitz operators
V. V. Peller
Abstract:
Estimates are obtained for the resolvents of Toeplitz operators under certain restrictions on their symbols. Conditions are found for the existence of nontrivial invariant subspaces and for a Toeplitz operator to be similar to a unitary operator. A theorem on inclusion of spectra is obtained for Toeplitz operators with unimodular symbols.
Bibliography: 26 titles.
Received: 12.07.1984
Citation:
V. V. Peller, “Spectrum, similarity, and invariant subspaces of Toeplitz operators”, Izv. Akad. Nauk SSSR Ser. Mat., 50:4 (1986), 776–787; Math. USSR-Izv., 29:1 (1987), 133–144
Linking options:
https://www.mathnet.ru/eng/im1534https://doi.org/10.1070/IM1987v029n01ABEH000963 https://www.mathnet.ru/eng/im/v50/i4/p776
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Abstract page: | 484 | Russian version PDF: | 157 | English version PDF: | 21 | References: | 69 | First page: | 1 |
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