Lancaster EPrints

Hyper-Stonean envelopes of compact spaces

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

PDF (Hyperstoneanfinal) - Submitted Version
Available under License Creative Commons Attribution-NonCommercial.

Download (330Kb) | Preview
    PDF (onlineversion) - Published Version
    Available under License None.

    Download (444Kb) | Preview


      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
      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:

      Actions (login required)

      View Item