A generalized spectral duality theorem
type: Item
instance of: scholarly article
title: A generalized spectral duality theorem
zbMATH Open document ID: 0763.46054
DOI: 10.1007/BF02099263
author: Wojciech Chojnacki
published in: Communications in Mathematical Physics
publication date: 1992-09-26T00:00:00Z
review text: The author studies a spectral duality theorem relating the point spectrum of a \(*\)-representation of a certain covariance algebra to the continuous spectrum of an associated family of \(*\)-representations. As an application, it is shown that if almost all the block operators associated with a real almost periodic function on \(R\) have pure point spectrum over a Borel subset of \(\mathbb{R}\), then almost all the Schrödinger operators with potentials belonging to the compact hull of the translation of this function have, over the same set, purely continuous spectrum.
Mathematics Subject Classification ID: 46K10
Mathematics Subject Classification ID: 35J10
zbMATH DE Number: 54725
zbMATH Keywords: spectral duality theorem
zbMATH Keywords: point spectrum of a \(*\)-representation
zbMATH Keywords: covariance algebra
zbMATH Keywords: continuous spectrum of an associated family of \(*\)- representation
zbMATH Keywords: block operators
zbMATH Keywords: real almost periodic function
zbMATH Keywords: Schrödinger operators
zbMATH Keywords: potentials belonging to the compact hull of the translation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 54725