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Theory of a Class of Locally Convex Vector Lattices Which Include the Lebesgue Spaces

In this paper is presented the theory of a class of locally convex lattices (L-lattices) of real functions which generalize the classical Lebesgue spaces. The monotone and dominated convergence theorems for convergence almost everywhere and sequential and order completeness of such lattices are esta...

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Bibliografische gegevens
Hoofdauteur: Bogdanowicz, Witold M.
Formaat: Artigo
Taal:Inglês
Gepubliceerd in: 1970
Onderwerpen:
Online toegang:https://ncbi.nlm.nih.gov/pmc/articles/PMC283040/
https://ncbi.nlm.nih.gov/pubmed/16591840
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