Extensions of bitriangular operators |
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| Authors: | David R Larson Warren R Wogen |
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| Institution: | (1) Department of Mathematics, Texas A&M University, 77843 College Station, TX;(2) Department of Mathematics, University of North Carolina, 27599 Chapel Hill, N.C. |
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| Abstract: | We prove that every one-dimensional extension of a bitriangular operator has a cyclic commutant. We also prove that ifT is an extension of a bitriangular operator by an algebraic operator, then the weakly closed algebraW(T) generated byT has a separating vector.This work was partially supported by NSF Grant DMS-9401544.Participant, Workshop in Linear Analysis and Probability, Texas A&M University |
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| Keywords: | Primary 47A45 Secondary 47D25 47A15 |
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