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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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Vydáno v:Proc Natl Acad Sci U S A
Hlavní autor: Bogdanowicz, Witold M.
Médium: Artigo
Jazyk:Inglês
Vydáno: National Academy of Sciences 1970
Témata:
On-line přístup:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC283040/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16591840/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.66.2.275
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