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Volume :12 Issue : 1 1985      Add To Cart                                                                    Download

Toeplitz operators on vector-valued Hardy spaces

Auther : R. KHALIL AND N. FAOUR

Department of Mathematics, University of Kuwait, P.O. Box 5969, Kuwait

 

ABSTRACT

 

Let H  be a separable Hilbert space, and LP(T, H) be the space of Bochner  P-integrable functions with values in H. The associated vector-valued Hardy space is denoted by HP(T, H). For f εLœ ( T , H ) , we define a Toeplitz-like operator Tf :H2 ( T,H ) H  ( T,H ). The basic properties of Tf are studied in this paper.

 

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