On the Kato-Rosenblum theorem

DOI10.2140/PJM.1986.123.329zbMath0603.47016OpenAlexW2076003124MaRDI QIDQ1082594

James S. Howland

Publication date: 1986

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1986.123.329

zbMATH Keywords

selfadjoint operatorabsolutely continuous spectrumsingular spectrumWeyl-von Neumann theoremcurdlingKato-Rosenblum theoremoperators with non- absolutely continuous spectra

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55)

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