On Grothendieck Subspaces

Details On Grothendieck Subspaces On Grothendieck Subspaces

2005-04-04

arxiv.org/abs/math/0504046v1

Siberian Math. J., 2005, V. 46, No. 3, 489-493

Mathematics

Functional Analysis

Scientific paper

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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