A representation of cyclically compact operators on Kaplansky-Hilbert modules

GÖNÜLLÜ U.

ARCHIV DER MATHEMATIK, vol.106, no.1, pp.41-51, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 106 Issue: 1
  • Publication Date: 2016
  • Doi Number: 10.1007/s00013-015-0846-2
  • Journal Name: ARCHIV DER MATHEMATIK
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.41-51
  • Istanbul Kültür University Affiliated: Yes

Abstract

We give a representation of cyclically compact self-adjoint operators on Kaplansky-Hilbert modules and characterize the global eigenvalues of such operators by a sequence consisting of their global eigenvalues taken in the corresponding representation.