An extension of Riesz dual pairing in non-commutative functional analysis
Volume 151 / 2018
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.
