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A representation of cyclically compact operators on Kaplansky–Hilbert modules

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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.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, İstanbul Kültür University, Bakırköy, 34156, İstanbul, Turkey

    Uğur Gönüllü

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  1. Uğur Gönüllü
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Correspondence to Uğur Gönüllü.

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Gönüllü, U. A representation of cyclically compact operators on Kaplansky–Hilbert modules. Arch. Math. 106, 41–51 (2016). https://doi.org/10.1007/s00013-015-0846-2

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  • DOI: https://doi.org/10.1007/s00013-015-0846-2

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