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On Grothendieck Subspaces

S. S. Kutateladze
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Abstract

The modulus of an order bounded functional on a Riesz space is the sum of a pair of Riesz homomorphisms if and only if the kernel of this functional is a Grothendieck subspace of the ambient Riesz space. An operator version of this fact is given.

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S. S. Kutateladze. 2005-04-04. On Grothendieck Subspaces. https://arxiv.org/abs/math/0504046

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