The structure of linfin in some generalized Orlicz sequence spaces

Authors: Janina Ewert; Zofia Lewandowska

Source: Studia Scientiarum Mathematicarum Hungarica, Volume 41, Number 4, 21 October 2004 , pp. 457-465(9)

Publisher: Akademiai Kiado

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Abstract:

I n this paper we consider the structure of linfin in the modular sequence space T(A,{fn}) defined in [2]. We obtain the conditions when linfin= T(A,{fn}). We prove that if linfin neT(A,{fn}), then the space linfin is an Fsgr, sgr-strongly porous set in T(A,{fn}).

Keywords: porosity; Orlicz sequence space; Orlicz function; regular matrix

Document Type: Research article

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