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Dilations of Positive Contractions on Lp Spaces*

Published online by Cambridge University Press:  20 November 2018

M. A. Akcoglu
Affiliation:
Dept of Math, University of Toronto
L. Sucheston
Affiliation:
Dept of Math, University of Toronto
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Throughout this article p denotes a fixed number such that 1 ≤ p < ∞. The definition of a real Lp space associated with a measure space is well known. These spaces are Banach Spaces and, with the usual partial ordering of (equivalence classes of) functions, also Banach Lattices.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1977

Footnotes

*

Research supported by NRC Grant A3974

References

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