Hyper-Stonean envelopes of compact spaces

Dales, Harold Garth and Plebanek, Grzegorz (2019) Hyper-Stonean envelopes of compact spaces. Studia Mathematica, 246. pp. 31-46. ISSN 0039-3223

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Let K be a compact space, and denote by (K) over tilde its hyper-Stonean envelope. We discuss the class of spaces K with the property that (K) over tilde is homeomorphic to (I) over tilde, the hyper-Stonean envelope of the closed unit interval d. Certainly each uncountable, compact, metrizable space K belongs to this class. We describe several further classes of compact spaces K for which (K) over tilde = (I) over tilde. In fact, (K) over tilde = (I) over tilde if and only if the Banach spaces M(K) and M(I) of measures on K and If are isometrically isomorphic.

Item Type:
Journal Article
Journal or Publication Title:
Studia Mathematica
Uncontrolled Keywords:
?? arens productsborel measurecorson compacteberlein compactmaharam typerosenthal compactbiduals of banach algebrashyper-stonean envelopemeasure separable spacesmathematics(all) ??
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Deposited On:
16 Feb 2018 10:30
Last Modified:
16 Mar 2024 00:50