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RESEARCH PRODUCT
On the space of all regular operators from C(K) into C(K)
A. AndreuSergio Segura De LeónJosé M. Mazónsubject
Statement (computer science)Discrete mathematicsMathematics::Functional AnalysisCompact spaceIf and only ifCardinal numberMathematics::Classical Analysis and ODEsRiesz spaceSpace (mathematics)Mathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1988-09-01 | Indagationes Mathematicae (Proceedings) |