J Austral Math Soc Ser A 49 pp327--346, 1990.

Spectrality of Elementary Operators

Milan Hladnik

(Received 30 January 1989; revised 6 October 1989)

Abstract

Spectrality and prespectrality of elementary operators x ® åⁿ_i=1a_ixb_i, acting on the algebra B(H) of all bounded linear operators on a separable infinite-dimensional complex Hilbert space H, or on von Neumann-Schatten classes in B(H), are treated. In the case when (a₁, a₂, ..., a_n) and (b₁, b₂, ..., b_n) are two n-tuples of commuting normal operators on H, the complete characterization of spectrality is given.

1980 AMS Subject Classification (1985 Revision): 47B40, 47B47

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Authors

Milan Hladnik: Department of Mathematics, E. K. University of Ljubljana, Jadranska 19, 61000 Ljubljana, Yugoslavia.

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Last Modified: Wed Feb 19 10:27:52 2003