Multivariable Bohr inequalities

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dc.creatorPopescu, Gelu
dc.date2005-07-07
dc.date.accessioned2026-07-07T05:21:31Z
dc.date.available2026-07-07T05:21:31Z
dc.descriptionOperator-valued multivariable Bohr type inequalities are obtained for: a class of noncommutative holomorphic functions, generalizing the analytic functions on the open unit disc; the noncommutative disc algebra and the noncommutative analytic Toeplitz algebra; a class of noncommutative selfadjoint harmonic functions, generalizing the real-valued harmonic functions on the open unit disc; Cuntz-Toeplitz algebras ; the reduced (resp.full) group C*-algebra of the free group with n generators; a class of analytic functions on the open unit ball of C^n. The classical Bohr inequality is shown to be a consequence of Fejer's inequality for the coefficients of positive trigonometric polynomials and Haagerup-de la Harpe inequality for nilpotent operators. Moreover, we provide an inequality which, for analytic polynomials on the open unit disc, is sharper than Bohr's inequality.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/math/0507156
dc.identifierhttp://arxiv.org/abs/math/0507156
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75716
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject47A20, 47A56, 47A13, 47A63
dc.titleMultivariable Bohr inequalities
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