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Metric functionals: a new class of examples
Event Title
VI Workshop on Computational Data Analysis and Numerical Methods
Year (definitive publication)
2019
Language
English
Country
Portugal
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Abstract
Inspired by Gromov's construction of horofunction compactification, Karlsson [1], [2], among others, started an entire program dedicated to the idea of transposing functional analysis constructions to metric spaces. Central in this realm of ideas is the concept of metric functional. In this work we consider the metric space of metrics, defined on a finite set [3], and obtain the entire description of metric functionals in the first nontrivial cases.
[1]Karlsson, A., Elements of a metric spectral theory, Preprint
[2]Gouëzel, S., Karlsson, A., Subadditive and multilplicative ergodic theorems To appear
in J. Eur. Math. Soc.
[3]Khare, A., The non-compact normed space of norms on a finite-dimensional Banach
space, arXiv:1810.06188
Acknowledgements
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Keywords
Horofunction compactification,Metric space,Metric functional
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
