On Multipliers of Orlicz Spaces

On Multipliers of Orlicz Spaces

Mahmud Masri

Mathematics Department, An-Najah National University, Nablus, Palestine

Received : 09-10-2000 , Accepted : 07-05-2001

Language: English

Abstract

Let be a finite positive measure space, X a Banach space, a modulus function and a strongly measurable function. The Orlicz space is. The space of Bochner p-integrable functions, is.Also,. When X is a Banach algebra we show that the multipliers of is if for all a1 and b.Also, = if for all a,b in [0,which generalizes the special case X being the complex numbers C. When is also non-atomic we show that for all iff.

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