Hankel and Toeplitz-Schur Multipliers

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dc.creatorAleksandrov, A. B.
dc.creatorPeller, V. V.
dc.date2001-01-31
dc.date.accessioned2026-07-07T04:39:55Z
dc.date.available2026-07-07T04:39:55Z
dc.descriptionWe study the problem of characterizing Hankel-Schur multipliers and Toeplitz-Schur multipliers of Schatten-von Neumann class $\bS_p$ for $0<p<1$. We obtain various sharp necessary conditions and sufficient conditions for a Hankel matrix to be a Schur multiplier of $\bS_p$. We also give a characterization of the Hankel-Schur multipliers of $\bS_p$ 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 $\bS_p$. 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.
dc.description47 pages
dc.identifierhttps://arxiv.org/abs/math/0101264
dc.identifierhttp://arxiv.org/abs/math/0101264
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60864
dc.subjectFunctional Analysis
dc.subjectClassical Analysis and ODEs
dc.subjectComplex Variables
dc.subject47B35
dc.titleHankel and Toeplitz-Schur Multipliers
dc.typetext

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