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An extension of Riesz dual pairing in non-commutative functional analysis

Volume 151 / 2018

Ghorban Ali Bagheri-Bardi, Akaram Elyaspour, Somayeh Javani, Minoo Khosheghbal-Ghorabayi Colloquium Mathematicum 151 (2018), 147-155 MSC: Primary 47L50, 47L25; Secondary 47A56, 46G10. DOI: 10.4064/cm6777-3-2017 Published online: 1 December 2017

Abstract

Let $\mathcal {H}$ be a Hilbert space and $L^1(\mathcal {H})$ be the space of trace class operators on $\mathcal {H}$. Let $\varOmega $ be a measurable set. Based on the operator spaces point of view, set valued functions $f:\varOmega \to L^1(\mathcal {H})$ may be considered as a generalization of complex measurable functions. These operator valued measurable functions will be completely characterized.

Authors

  • Ghorban Ali Bagheri-BardiDepartment of Mathematics
    Persian Gulf University
    Bushehr 75168, Iran
    e-mail
    e-mail
  • Akaram ElyaspourDepartment of Mathematics
    Persian Gulf University
    Bushehr 75168, Iran
    e-mail
  • Somayeh JavaniDepartment of Mathematics
    Persian Gulf University
    Bushehr 75168, Iran
    e-mail
  • Minoo Khosheghbal-GhorabayiDepartment of Mathematics
    Persian Gulf University
    Boushehr 75168, Iran
    e-mail

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