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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 2, Pages 390–393
(Mi smj973)
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This article is cited in 8 scientific papers (total in 9 papers)
On differences of Riesz homomorphisms
S. S. Kutateladze Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
An order bounded functional on a Riesz space is a difference of Riesz homomorphisms if and only if the kernel of this functional is a Riesz subspace of the ambient Riesz space. An operator version of this fact is given.
Keywords:
Riesz homomorphism, Stone theorem, Boolean valued analysis.
Received: 01.02.2005
Citation:
S. S. Kutateladze, “On differences of Riesz homomorphisms”, Sibirsk. Mat. Zh., 46:2 (2005), 390–393; Siberian Math. J., 46:2 (2005), 305–307
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https://www.mathnet.ru/eng/smj973 https://www.mathnet.ru/eng/smj/v46/i2/p390
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Abstract page: | 345 | Full-text PDF : | 115 | References: | 82 |
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