This is an announcement for the paper "On Grothendieck subspaces" by S. S. Kutateladze.

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.

Archive classification: Functional Analysis

Mathematics Subject Classification: 46 B 42

The source file(s), sums.ams: 5318 bytes, is(are) stored in gzipped form as 0504046.gz with size 2kb. The corresponding postcript file has gzipped size 20kb.

Submitted from: sskut@member.ams.org

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http://front.math.ucdavis.edu/math.FA/0504046

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http://arXiv.org/abs/math.FA/0504046

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