A Noncommutative Wiener Lemma and A Faithful Tracial State on Banach Algebras of Time-Frequency Shift Operators

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dc.creatorBalan, Radu
dc.date2005-10-10
dc.date.accessioned2026-07-07T06:47:16Z
dc.date.available2026-07-07T06:47:16Z
dc.descriptionIn this paper we analyze the Banach *-algebra of time-frequency shifts with absolutely summable coefficients. We prove a noncommutative version of the Wiener lemma. We also construct a faithful tracial state on this algebra which implies the algebra contains no compact operators. As a corollary we obtain a special case of the Heil-Ramanathan-Topiwala conjecture regarding linear independence of finitely many time-frequency shifts of one $L^2$ function.
dc.identifierhttps://arxiv.org/abs/math/0510178
dc.identifierhttp://arxiv.org/abs/math/0510178
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103598
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject46H99;47L99
dc.titleA Noncommutative Wiener Lemma and A Faithful Tracial State on Banach Algebras of Time-Frequency Shift Operators
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