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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Original Russian Text Copyright © 2005 Kutateladze S. S.
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 46, No. 3, pp. 620–624, May–June, 2005.
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Kutateladze, S.S. On Grothendieck Subspaces. Sib Math J 46, 489–493 (2005). https://doi.org/10.1007/s11202-005-0050-x
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DOI: https://doi.org/10.1007/s11202-005-0050-x