On Grothendieck Subspaces
泛函分析
2011-05-31 v1
摘要
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.
引用
@article{arxiv.math/0504046,
title = {On Grothendieck Subspaces},
author = {S. S. Kutateladze},
journal= {arXiv preprint arXiv:math/0504046},
year = {2011}
}