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The Köthe dual of an abstract Banach lattice
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نویسنده
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jiménez fernández e. ,juan m.a. ,sánchez-pérez e.a.
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منبع
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journal of function spaces - 2013 - دوره : 2013 - شماره : 0
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چکیده
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We analyze a suitable definition of köthe dual for spaces of integrable functions with respect to vector measures defined on δ-rings. this family represents a broad class of banach lattices,and nowadays it seems to be the biggest class of spaces supported by integral structures,that is,the largest class in which an integral representation of some elements of the dual makes sense. in order to check the appropriateness of our definition,we analyze how far the coincidence of the köthe dual with the topological dual is preserved. © 2013 e. jiménez fernández et al.
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آدرس
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departamento de análisis matemático,facultad de ciencias,campus fuentenueva s/n, Spain, instituto universitario de matemática pura y aplicada,universidad politécnica de valencia,camino de vera s/n, Spain, instituto universitario de matemática pura y aplicada,universidad politécnica de valencia,camino de vera s/n, Spain
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Authors
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