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Articles 151 - 152 of 152
Full-Text Articles in Statistics and Probability
Positive Perturbations Of Unbounded Operators, Joanne Dombrowski
Positive Perturbations Of Unbounded Operators, Joanne Dombrowski
Mathematics and Statistics Faculty Publications
This work studies the spectral properties of certain unbounded selfadjoint operators by considering positive perturbations of such operators and the unitary equivalence of the perturbed and unperturbed transformations. Conditions are obtained on the unitary operators implementing this equivalence which guarantee that the selfadjoint operators have an absolutely continuous part.
The Absolute Continuity Of Phase Operators, Joanne Dombrowski, G. H. Fricke
The Absolute Continuity Of Phase Operators, Joanne Dombrowski, G. H. Fricke
Mathematics and Statistics Faculty Publications
This paper studies the spectral properties of a class of operators known as phase operators which originated in the study of harmonic oscillator phase. Ifantis conjectured that such operators had no point spectrum. It was later shown that certain phase operators were, in fact, absolutely continuous and that all phase operators at least had an absolutely continuous part. The present work completes the discussion by showing that all phase operators are absolutely continuous.