Cone normed spaces and weighted means
نویسندگان
چکیده
منابع مشابه
Cone normed spaces
In this paper, we introduce the cone normed spaces and cone bounded linear mappings. Among other things, we prove the Baire category theorem and the Banach--Steinhaus theorem in cone normed spaces.
متن کاملSome Results on TVS-cone Normed Spaces and Algebraic Cone Metric Spaces
In this paper we introduce the cone bounded linear mapping and demonstrate a proof to show that the cone norm is continuous. Among other things, we prove the open mapping theorem and the closed graph theorem in TVS-cone normed spaces. We also show that under some restrictions on the cone, two cone norms are equivalent if and only if the topologies induced by them are the same. In the sequel, we...
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chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولcone normed spaces
in this paper, we introduce the cone normed spaces and cone bounded linear mappings. among other things, we prove the baire category theorem and the banach--steinhaus theorem in cone normed spaces.
متن کاملPseudodifferential operators and weighted normed symbol spaces
In this work we study some general classes of pseudodifferential operators where the classes of symbols are defined in terms of phase space estimates. Résumé On étudie des classes générales d’opérateurs pseudodifférentiels dont les classes de symboles sont définis en termes d’éstimations dans l’espace de phase.
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2010
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2010.06.032