Functional Analysis in Asymmetric Normed Spaces
作者： Stefan Cobzas
DOI:
关键词: Reflexive space 、 Discontinuous linear map 、 Open mapping theorem (functional analysis) 、 Bounded operator 、 Topological vector space 、 Discrete mathematics 、 Mathematics 、 Locally convex topological vector space 、 Normed vector space 、 Continuous linear operator 、 Pure mathematics
摘要: The aim of this paper is to present a survey some recent results obtained in the study spaces with asymmetric norm. presentation follows ideas from theory normed (topology, continuous linear operators, functionals, duality, geometry spaces, compact operators) emphasizing similarities as well differences respect classical theory. main difference comes form fact that dual an space $X$ not space, but merely convex cone all functionals on $X.$ Due fact, careful treatment duality problems (e.g. reflexivity) and other as, for instance, extension fundamental principles functional analysis -the open mapping theorem closed graph - setting, needed.
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