Norm estimates of almost Mathieu operators

Simple item page
dc.creatorBoca, Florin P.
dc.creatorZaharescu, Alexandru
dc.date2002-01-14
dc.date2002-01-21
dc.date.accessioned2026-07-07T04:28:54Z
dc.date.available2026-07-07T04:28:54Z
dc.descriptionWe estimate the norm of the almost Mathieu operator $H_{θ,λ} =U+U^*+(λ/2)(V+V^*)$ in the rotation $C^*$-algebra $A_θ=C^*(U,V unitaries;UV=e^{2πiθ} VU)$. In this process, we significantly improve the inequality $\| H_θ\| \leq 2\sqrt{2}$, $θ\in [0.25,0.5]$, conjectured by Beguin, Valette and Zuk.
dc.description18 pages,3 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0201028
dc.identifierhttp://arxiv.org/abs/math-ph/0201028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56966
dc.subjectMathematical Physics
dc.subjectOperator Algebras
dc.subjectSpectral Theory
dc.subject47B36;47A30;81Q10;46L60
dc.titleNorm estimates of almost Mathieu operators
dc.typetext

Files

Collections

arXiv