Abstract
We introduce and study a stability property for submodules of measurable operators and Calkin spaces and characterize the tensor stable singly generated Calkin spaces. Given semifinite von Neumann algebras $(\mathcal{M},\tau)$, $(\mathcal{N},\sigma)$ and corresponding measurable operators $S$, $T$, we provide a necessary and sufficient condition for the operator $S\otimes T$ to be measurable with respect to $(\mathcal{M}\otimes\mathcal{N},\tau\otimes\sigma)$.
Citation
M. Anoussis. V. Felouzis. I. G. Todorov. "Tensor products of measurable operators." Illinois J. Math. 59 (3) 577 - 595, Fall 2015. https://doi.org/10.1215/ijm/1475266398
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