0000000001101801

AUTHOR

A. Andreu

showing 1 related works from this author

On the space of all regular operators from C(K) into C(K)

1988

AbstractIt is known that Lr(E, C(K)), the space of all regular operators from E into C(K), is a Riesz space for all Riesz spaces E if and only if K is Stonian. We prove that this statement holds if E is replaced by C(K), where K is a compact space, the cardinal number of which satisfies a certain condition.

Statement (computer science)Discrete mathematicsMathematics::Functional AnalysisCompact spaceIf and only ifCardinal numberMathematics::Classical Analysis and ODEsRiesz spaceSpace (mathematics)MathematicsIndagationes Mathematicae (Proceedings)
researchProduct