Lp-spaces as quasi *-algebras

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25 Citazioni (Scopus)

Abstract

The Banach space Lp(X, μ), for X a compact Hausdorff measure space, is considered as a special kind of quasi *-algebra (called CQ*-algebra) over the C*-algebra C(X) of continuous functions on X. It is shown that, for p ≥ 2, (Lp(X, μ), C(X)) is *-semisimple (in a generalized sense). Some consequences of this fact are derived
Lingua originaleEnglish
pagine (da-a)810-824
Numero di pagine15
RivistaJournal of Mathematical Analysis and Applications
Volume197
Stato di pubblicazionePublished - 1996

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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