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On differences of Riesz homomorphisms

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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.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk

    S. S. Kutateladze

Authors
  1. S. S. Kutateladze
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Original Russian Text Copyright © 2005 Kutateladze S. S.

Translated from Sibirski \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{\imath}\) Matematicheski \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{\imath}\) Zhurnal, Vol. 46, No. 2, pp. 390–393, March–April, 2005.

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Kutateladze, S.S. On differences of Riesz homomorphisms. Sib Math J 46, 305–307 (2005). https://doi.org/10.1007/s11202-005-0031-0

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  • DOI: https://doi.org/10.1007/s11202-005-0031-0

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