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Metrics on state spaces

open access: yesDocumenta Mathematica, 1999
In contrast to the usual Lipschitz seminorms associated to ordinary metrics on compact spaces, we show by examples that Lipschitz seminorms on possibly non-commutative compact spaces are usually not determined by the restriction of the metric they define on the state space, to the extreme points of the state space.
openaire   +3 more sources

AM-modulus and Hausdorff measure of codimension one in metric measure spaces [PDF]

open access: green, 2019
Vendula Honzlová Exnerová   +2 more
openalex   +1 more source

On the Metric of Space-Time

open access: yesJournal of Modern Physics, 2013
Maxwell's equations are obeyed in a one-parameter group of isotropic gravity-free flat space-times whose metric depends upon the value of the group parameter. An experimental determination of this value has been proposed. If it is zero, the metric is Minkowski's.
openaire   +3 more sources

Partial Fuzzy Soft Metric Space

open access: yesJournal of Applied Science and Engineering
Matthew introduced a partial metric, sometimes known as a non-zero self-distance. This paper seeks to extend Matthew’s notion to the fuzzy soft universe and create a partial fuzzy soft metric.
Younes Hazem Thiyab, Ghaith Ali Salom
doaj   +1 more source

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