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Addition of an identity to an ordered Banach space

Published online by Cambridge University Press:  09 April 2009


Derek W. Robinson
Affiliation:
Department of MathematicsInstitute of Advanced Studies The Australian National UniversityP.O. Box 4Canberra, A.C.T. 2600, Australia
Sadayuki Yamamuro
Affiliation:
Department of MathematicsInstitute of Advanced Studies The Australian National UniversityP.O. Box 4Canberra, A.C.T. 2600, Australia

Abstract

Given an ordered Banach space ℬ equipped with an order-norm we construct a larger space ℬ¯ with an order-norm and order-identity such that B is isometrically order-isomorphic to a Banach subspace of B. We also discuss the extension of positive operators from ℬto ℬ¯.


Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1983

References

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