A CHARACTERIZATION OF THE BAND OF KERNEL OPERATORS
Grobler, Jacobus J; van Eldik, Peter; Grobler, Jacobus J; Department of Mathematics Potchefstroom, University for C.H.E.; van Eldik, Peter; Department of Mathematics Potchefstroom, University for C.H.E.
Журнал:
Quaestiones Mathematicae
Дата:
1980
Аннотация:
ABSTRACTIn this note we present a characterization of the band of kernel operators in the abstract setting of Riesz spaces. Under the assumptions that E is an Archimedean Riesz space and F a Dedekind complete Riesz space separated by its ex= tended order continuo88 dual, we obtain a characterization of the band (E<sub>oo</sub> ⊗ F)<sup>dd</sup> in terms of (sequentially) star or= der continuous operators.
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