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Free probability and the von Neumann algebrasof free groups
Reports on Mathematical Physics, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2009
Let us notice that by definition, a von Neumann algebra contains only bounded operators. The theory nevertheless allows us to consider unbounded operators thanks to the notion of affiliated operators. A densely defined selfadjoint operator X on H is said to be affiliated to A iff for any Borel function f on the spectrum of X, f(X) ? A (see [167, p.164])
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Let us notice that by definition, a von Neumann algebra contains only bounded operators. The theory nevertheless allows us to consider unbounded operators thanks to the notion of affiliated operators. A densely defined selfadjoint operator X on H is said to be affiliated to A iff for any Borel function f on the spectrum of X, f(X) ? A (see [167, p.164])
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Conditionally Free Probability
2019That paper considers the introdution to free probability with two states. The main results are connected with quantum channels. We have proved that a free product of quantum channels – the conditionally free product of a quantum channel – is again a quantum channel.
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Carrier-free nanomedicines for cancer treatment
Progress in Materials Science, 2022Li-Han Liu, Xian-Zheng Zhang
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Lead-Free Perovskite Materials for Solar Cells
Nano-Micro Letters, 2021Minghao Wang, Wei Shen, Lihui Liu
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Theory of Nonequilibrium Free Energy Transduction by Molecular Machines
Chemical Reviews, 2020Aidan I Brown, David A Sivak
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Crack-free single-crystalline Co-free Ni-rich LiNi0.95Mn0.05O2 layered cathode
EScience, 2022Lianshan Ni, Ruiting Guo, Susu Fang
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Transmission of A Malignant New Growth By Means of A Cell-Free Filtrate
Ca-A Cancer Journal for Clinicians, 1972P Rous, Peyton Rous
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