Weighted composition operators on Hilbert spaces of vector-valued functions

Hornor, William; Jamison, James

doi:10.1090/S0002-9939-96-03395-3

Weighted composition operators on Hilbert spaces of vector-valued functions
HTML articles powered by AMS MathViewer

by William E. Hornor and James E. Jamison

Proc. Amer. Math. Soc. 124 (1996), 3123-3130

DOI: https://doi.org/10.1090/S0002-9939-96-03395-3

PDF | Request permission

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

James T. Campbell and William E. Hornor, Seminormal composition operators, J. Operator Theory 29 (1993), no. 2, 323–343. MR 1284887
James T. Campbell and William E. Hornor, Localising and seminormal composition operators on $L^2$, Proc. Roy. Soc. Edinburgh Sect. A 124 (1994), no. 2, 301–316. MR 1273750, DOI 10.1017/S0308210500028481
James T. Campbell and James E. Jamison, On some classes of weighted composition operators, Glasgow Math. J. 32 (1990), no. 1, 87–94. MR 1045089, DOI 10.1017/S0017089500009095
Don Deckard and Carl Pearcy, On matrices over the ring of continuous complex valued functions on a Stonian space, Proc. Amer. Math. Soc. 14 (1963), 322–328. MR 147926, DOI 10.1090/S0002-9939-1963-0147926-1
Richard V. Kadison and John R. Ringrose, Fundamentals of the theory of operator algebras. Vol. I, Pure and Applied Mathematics, vol. 100, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York, 1983. Elementary theory. MR 719020
Alan Lambert, Hyponormal composition operators, Bull. London Math. Soc. 18 (1986), no. 4, 395–400. MR 838810, DOI 10.1112/blms/18.4.395
M. M. Rao, Measure theory and integration, Pure and Applied Mathematics (New York), John Wiley & Sons, Inc., New York, 1987. A Wiley-Interscience Publication. MR 891879