An infinite dimensional version of the Schur convexity property and applications

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dc.creatorVallee, Claude
dc.creatorRadulescu, Vicentiu
dc.date2006-07-21
dc.date.accessioned2026-07-07T07:20:48Z
dc.date.available2026-07-07T07:20:48Z
dc.descriptionWe extend to infinite dimensional separable Hilbert spaces the Schur convexity property of eigenvalues of a symmetric matrix with real entries. Our framework includes both the case of linear, selfadjoint, compact operators, and that of linear selfadjoint operators that can be approximated by operators of finite rank and having a countable family of eigenvalues. The abstract results of the present paper are illustrated by several examples from mechanics or quantum mechanics, including the Sturm-Liouville problem, the Schrödinger equation, and the harmonic oscillator.
dc.identifierhttps://arxiv.org/abs/math/0607551
dc.identifierhttp://arxiv.org/abs/math/0607551
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115079
dc.subjectAnalysis of PDEs
dc.subject35E10, 35P15, 47A75, 47F05, 52A40
dc.titleAn infinite dimensional version of the Schur convexity property and applications
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