On Grothendieck Subspaces
classification
🧮 math.FA
keywords
rieszfunctionalgrothendieckspaceambientboundedfactgiven
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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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