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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Abstract

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:

/dk/atira/pure/subjectarea/asjc/2600/2600

Subjects:

?? arens productsborel measurecorson compacteberlein compactmaharam typerosenthal compactbiduals of banach algebrashyper-stonean envelopemeasure separable spacesgeneral mathematicsmathematics(all) ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

123473

Deposited By:

ep_importer_pure

Deposited On:

16 Feb 2018 10:30

Refereed?:

Yes

Published?:

Published