Inverse systems of abstract Lebesgue spaces

B. Christianson

Inverse systems of abstract Lebesgue spaces

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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.

Original language	English
Pages (from-to)	855-857
Journal	Proceedings of the American Mathematical Society
Volume	110
Issue number	3
Publication status	Published - 1990

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title = "Inverse systems of abstract Lebesgue spaces",

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.",

author = "B. Christianson",

note = "Original article can be found at: http://www.ams.org Copyright AMS",

year = "1990",

language = "English",

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journal = "Proceedings of the American Mathematical Society",

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AU - Christianson, B.

N1 - Original article can be found at: http://www.ams.org Copyright AMS

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AB - 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.

M3 - Article

SN - 0002-9939

VL - 110

SP - 855

EP - 857

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 3

ER -

Inverse systems of abstract Lebesgue spaces

Abstract

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