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Hyper-Stonean envelopes of compact spaces

Dales, Harold Garth and Plebanek, Grzegorz (2018) Hyper-Stonean envelopes of compact spaces. Studia Mathematica. ISSN 0039-3223

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      Abstract

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

      Item Type: Journal Article
      Journal or Publication Title: Studia Mathematica
      Subjects:
      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: 15 Oct 2018 16:51
      Identification Number:
      URI: http://eprints.lancs.ac.uk/id/eprint/123473

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