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        Inverse systems of abstract Lebesgue spaces

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        903930.pdf (PDF, 293Kb)
        Author
        Christianson, B.
        Attention
        2299/4416
        Abstract
        We show that inverse limits exist in the category of L spaces and positive linear contractions between them. This result generalizes the wellknown classical results for inverse systems of Choquet Simplexes and of L-balls, but our proof is simple and more purely geometrical. The result finds physical application in the study of random fields.
        Publication date
        1990
        Published in
        Proceedings of the American Mathematical Society
        Other links
        http://hdl.handle.net/2299/4416
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