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Hankel and Toeplitz-Schur multipliers. / Александров, Алексей Борисович; Peller, V. V.

In: Mathematische Annalen, Vol. 324, No. 2, 2002, p. 277-327.

Research output: Contribution to journal › Article › peer-review

Harvard

Александров, АБ & Peller, VV 2002, 'Hankel and Toeplitz-Schur multipliers', Mathematische Annalen, vol. 324, no. 2, pp. 277-327. https://doi.org/10.1007/s00208-002-0339-z

APA

Александров, А. Б., & Peller, V. V. (2002). Hankel and Toeplitz-Schur multipliers. Mathematische Annalen, 324(2), 277-327. https://doi.org/10.1007/s00208-002-0339-z

Vancouver

Александров АБ, Peller VV. Hankel and Toeplitz-Schur multipliers. Mathematische Annalen. 2002;324(2):277-327. https://doi.org/10.1007/s00208-002-0339-z

Author

Александров, Алексей Борисович ; Peller, V. V. / Hankel and Toeplitz-Schur multipliers. In: Mathematische Annalen. 2002 ; Vol. 324, No. 2. pp. 277-327.

BibTeX

@article{9865e6e55a08474097b780b07e5ce039,
title = "Hankel and Toeplitz-Schur multipliers",
abstract = "We study the problem of characterizing Hankel-Schur multipliers and Toeplitz-Schur multipliers of Schatten-von Neumann class Sp for 0 < p < 1. We obtain various sharp necessary conditions and sufficient conditions for a Hankel matrix to be a Schur multiplier of Sp. We also give a characterization of the Hankel-Schur multipliers of Sp whose symbols have lacunary power series. Then the results on Hankel-Schur multipliers are used to obtain a characterization of the Toeplitz-Schur multipliers of Sp. Finally, we return to Hankel-Schur multipliers and obtain new results in the case when the symbol of the Hankel matrix is a complex measure on the unit circle.",
author = "Александров, {Алексей Борисович} and Peller, {V. V.}",
year = "2002",
doi = "10.1007/s00208-002-0339-z",
language = "English",
volume = "324",
pages = "277--327",
journal = "Mathematische Annalen",
issn = "0025-5831",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Hankel and Toeplitz-Schur multipliers

AU - Александров, Алексей Борисович

AU - Peller, V. V.

PY - 2002

Y1 - 2002

N2 - We study the problem of characterizing Hankel-Schur multipliers and Toeplitz-Schur multipliers of Schatten-von Neumann class Sp for 0 < p < 1. We obtain various sharp necessary conditions and sufficient conditions for a Hankel matrix to be a Schur multiplier of Sp. We also give a characterization of the Hankel-Schur multipliers of Sp whose symbols have lacunary power series. Then the results on Hankel-Schur multipliers are used to obtain a characterization of the Toeplitz-Schur multipliers of Sp. Finally, we return to Hankel-Schur multipliers and obtain new results in the case when the symbol of the Hankel matrix is a complex measure on the unit circle.

AB - We study the problem of characterizing Hankel-Schur multipliers and Toeplitz-Schur multipliers of Schatten-von Neumann class Sp for 0 < p < 1. We obtain various sharp necessary conditions and sufficient conditions for a Hankel matrix to be a Schur multiplier of Sp. We also give a characterization of the Hankel-Schur multipliers of Sp whose symbols have lacunary power series. Then the results on Hankel-Schur multipliers are used to obtain a characterization of the Toeplitz-Schur multipliers of Sp. Finally, we return to Hankel-Schur multipliers and obtain new results in the case when the symbol of the Hankel matrix is a complex measure on the unit circle.

UR - http://www.scopus.com/inward/record.url?scp=0035981381&partnerID=8YFLogxK

U2 - 10.1007/s00208-002-0339-z

DO - 10.1007/s00208-002-0339-z

M3 - Article

VL - 324

SP - 277

EP - 327

JO - Mathematische Annalen

JF - Mathematische Annalen

SN - 0025-5831

IS - 2

ER -

ID: 5204498