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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
      Subjects: ?? ARENS PRODUCTSBOREL MEASURECORSON COMPACTEBERLEIN COMPACTMAHARAM TYPEROSENTHAL COMPACTBIDUALS OF BANACH ALGEBRASHYPER-STONEAN ENVELOPEMEASURE SEPARABLE SPACES ??
      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
      Last Modified: 19 Jan 2019 00:52
      Identification Number:
      URI: http://eprints.lancs.ac.uk/id/eprint/123473

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