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Spectrality of elementary operators

Part of: Special classes of linear operators

Published online by Cambridge University Press:  09 April 2009

Milan Hladnik
Milan Hladnik
Affiliation:
Department of MathematicsE. K. University of LjubljanaJadranska 19, 61000 Ljubljana, Yugoslavia
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Abstract

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Spectrality and prespectrality of elementary operators , acting on the algebra B(k) of all bounded linear operators on a separable infinite-dimensional complex Hubert space K, or on von Neumann-Schatten classes in B(k), are treated. In the case when (a1, a2, …, an) and (b1, b2, …, bn) are two n—tuples of commuting normal operators on H, the complete characterization of spectrality is given.

MSC classification

Secondary: 47B40: Spectral operators, decomposable operators, well-bounded operators, etc. 47B47: Commutators, derivations, elementary operators, etc.
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 49 , Issue 2 , October 1990 , pp. 327 - 346
Copyright
Copyright © Australian Mathematical Society 1990

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