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Weighted composition operators
on Hilbert spaces of vector-valued functions


Authors: William E. Hornor and James E. Jamison
Journal: Proc. Amer. Math. Soc. 124 (1996), 3123-3130
MSC (1991): Primary 47B38, 47B20
DOI: https://doi.org/10.1090/S0002-9939-96-03395-3
MathSciNet review: 1328350
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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we investigate criterion for the hyponormality, cohyponormality, and normality of weighted composition operators acting on Hilbert spaces of vector-valued functions.


References [Enhancements On Off] (What's this?)

  • 1. J. Campbell and W. Hornor, Seminormal composition operators, J. Operator Theory 29 (1993), 323--343. MR 95f:47052
  • 2. J. Campbell and W. Hornor, Localising and seminormal composition operators on $L^2$, Proc. Roy. Soc. Edinburgh 124A (1994), 301--316. MR 95d:47033
  • 3. J. Campbell and J. Jamison, On some classes of weighted composition operators, Glasgow Math. J. 32 (1990), 82--94. MR 91m:47040
  • 4. D. Deckard and C. Pearcy, On matrices over the ring of continuous complex valued functions on a Stonian space, Proc. Amer. Math. Soc. 14 (1963), 322--328. MR 26:5438
  • 5. R. Kadison and J. Ringrose, Fundamentals of the Theory of Operator Algebras, Vol. I, Academic Press, New York, 1983. MR 85j:46099
  • 6. A. Lambert, Hyponormal composition operators, Bull. London Math. Soc. 18 (1986), 395--400. MR 87h:47059
  • 7. M. M. Rao, Measure Theory and Integration, Wiley-Interscience, New York, 1987. MR 89k:28001

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Additional Information

William E. Hornor
Affiliation: Department of Mathematics, University of Southern Mississippi, Hattiesburg, Mississippi 39406

James E. Jamison
Affiliation: Department of Mathematical Sciences, University of Memphis, Memphis, Tennessee 38152

DOI: https://doi.org/10.1090/S0002-9939-96-03395-3
Received by editor(s): October 17, 1994
Received by editor(s) in revised form: February 21, 1995, and April 3, 1995
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1996 American Mathematical Society

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