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Lp Spaces from Matrix Measures: A Correction and their Interpolation

Published online by Cambridge University Press:  20 November 2018

Patrick J. Browne
Affiliation:
Department of Mathematics and Statistics, The University of CalgaryCalgary, Alberta, Canada
Claude Costa
Affiliation:
Department of Mathematics and Statistics, The University of CalgaryCalgary, Alberta, Canada
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Abstract

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We discuss the construction of the spaces Lp(μij), 1 ≤ p ≤ ∞, where {μij} is an n × n positive matrix measure, correct a mistake in the literature concerning those spaces and develop an interpolation theory for them.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1983

References

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