Displaying similar documents to “On the essential spectrum and eigenvalue asymptotics of certain Schrödinger operators”

Perturbation of the spectrum οf an essentially selfadjoint operator

Andrzej Pokrzywa (1993)

Applicationes Mathematicae

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The aim of this paper is to find estimates of the Hausdorff distance between the spectra of two nonselfadjoint operators. The operators considered are assumed to have their imaginary parts in some normed ideal of compact operators. In the case of the classical Schatten ideals the estimates are given explicitly.

Multidimensional weak resolvents and spatial equivalence of normal operators

Michał Jasiczak (2006)

Studia Mathematica

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The aim of this paper is to answer some questions concerning weak resolvents. Firstly, we investigate the domain of extension of weak resolvents Ω and find a formula linking Ω with the Taylor spectrum. We also show that equality of weak resolvents of operator tuples A and B results in isomorphism of the algebras generated by these operators. Although this isomorphism need not be of the form (1) X ↦ U*XU, where U is an isometry, for normal operators it...