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Addition of an identity to an ordered banach space

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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 ℬ to ℬ.

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Journal of the Australian Mathematical Society

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