JournalsdmVol. 28, No. 6pp. 1381–1392

On the existence of uniformly bounded self-adjoint bases in GNS spaces

  • Debabrata De

    National Institute of Science Education and Research, Khurda, India

  • Kunal Mukherjee

    Indian Institute of Technology Madras, Tamil Nadu, India
On the existence of uniformly bounded self-adjoint bases in GNS spaces cover
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Abstract

The Gelfand–Naimark–Segal (GNS) space of a diffuse finite von Neumann algebra with respect to a faithful normal tracial state admits an orthonormal basis consisting of the image inside the GNS space of a uniformly bounded sequence of self-adjoint operators.

Cite this article

Debabrata De, Kunal Mukherjee, On the existence of uniformly bounded self-adjoint bases in GNS spaces. Doc. Math. 28 (2023), no. 6, pp. 1381–1392

DOI 10.4171/DM/941