Linear functionals on Orlicz sequence spaces without local convexity

Marian Nowak

International Journal of Mathematics and Mathematical Sciences, 1992, vol. 15, 1-14

Abstract:

The general form of continuous linear functionals on an Orlicz sequence space 1 ϕ (non-separable and non-locally convex in general) is obtained. It is proved that the space h ϕ is an M -ideal in 1 ϕ .

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:619195

DOI: 10.1155/S0161171292000310

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