Exportar Publicação
A publicação pode ser exportada nos seguintes formatos: referência da APA (American Psychological Association), referência do IEEE (Institute of Electrical and Electronics Engineers), BibTeX e RIS.
Mendes, S. & Bettencourt, G. H. (2019). Metric functionals: a new class of examples. VI Workshop on Computational Data Analysis and Numerical Methods.
S. M. Mendes and G. H. Bettencourt, "Metric functionals: a new class of examples", in VI Workshop on Computational Data Analysis and Numerical Methods, Covilhã, 2019
@misc{mendes2019_1766221494840,
author = "Mendes, S. and Bettencourt, G. H.",
title = "Metric functionals: a new class of examples",
year = "2019",
howpublished = "Digital",
url = "http://www.wcdanm-ubi19.uevora.pt/"
}
TY - CPAPER TI - Metric functionals: a new class of examples T2 - VI Workshop on Computational Data Analysis and Numerical Methods AU - Mendes, S. AU - Bettencourt, G. H. PY - 2019 CY - Covilhã UR - http://www.wcdanm-ubi19.uevora.pt/ AB - 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 ER -
English