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arxiv: 0912.0960 · v1 · submitted 2009-12-04 · 🧮 math.FA

Cone Normed Spaces

classification 🧮 math.FA
keywords conenormedspacestheorembairebanach--steinhausboundedcategory
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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.

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