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Weighted composition operators on Hilbert spaces of vector-valued functions
Author(s):
William
E.
Hornor;
James
E.
Jamison
Journal:
Proc. Amer. Math. Soc.
124
(1996),
3123-3130.
MSC (1991):
Primary 47B38, 47B20
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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:
- 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
, 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
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- 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:
10.1090/S0002-9939-96-03395-3
PII:
S 0002-9939(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
Copyright of article:
Copyright
1996,
American Mathematical Society
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