A variant of Grothendieck's theorem on weak* convergent sequences
The authors give a new proof of the following theorem: Let \(K\) be a compact quasi-Stonian space. Then every \(\sigma (C(K)^*, C(K))\)-compact subset of \(C(K)^*_c\) is also \(\sigma (C(K)^*, C(K)^{**})\)-compact. Hereby \(C(K)^*_c\) denotes the space of all sequentially order continuous linear functionals on \(C(K)\).
sequentially order continuous linear functionals
scientific article; zbMATH DE number 815710