Zobrazeno 1 - 10
of 73 608
pro vyhledávání: '"Choquet, A."'
Autor:
Smith, Richard J.
Let $(M,d)$ be a complete metric space and let $\mathcal{F}(M)$ denote the Lipschitz-free space over $M$. We develop a ``Choquet theory of Lipshitz-free spaces'' that draws from the classical Choquet theory and the De Leeuw representation of elements
Externí odkaz:
http://arxiv.org/abs/2412.05177
Autor:
Davidson, Kenneth R., Kennedy, Matthew
We survey noncommutative Choquet theory and some of its applications.
Comment: To appear in "Operator Theory" edited by Daniel Alpay, Fabrizio Colombo and Irene Sabadini with Springer Nature. 27 pages
Comment: To appear in "Operator Theory" edited by Daniel Alpay, Fabrizio Colombo and Irene Sabadini with Springer Nature. 27 pages
Externí odkaz:
http://arxiv.org/abs/2412.09455
We prove that every element of a Lipschitz-free space admits an expression as a convex series of elements with compact support. As a consequence, we conclude that all extreme points of the unit ball of Lipschitz-free spaces are elementary molecules,
Externí odkaz:
http://arxiv.org/abs/2412.04312
Autor:
Vakharia, Hersh, Du, Xiaoxiao
Sensor fusion combines data from multiple sensor sources to improve reliability, robustness, and accuracy of data interpretation. The Fuzzy Integral (FI), in particular, the Choquet integral (ChI), is often used as a powerful nonlinear aggregator for
Externí odkaz:
http://arxiv.org/abs/2409.03212
Autor:
Jacelon, Bhishan
Precipitating a notion emerging from recent research, we formalise the study of a special class of compact quantum metric spaces. Abstractly, the additional requirement we impose on the underlying order unit spaces is the Riesz interpolation property
Externí odkaz:
http://arxiv.org/abs/2408.04368
Akademický článek
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Publikováno v:
In Fuzzy Sets and Systems 1 March 2025 503
A countable discrete group is called Choquet-Deny if for any non-degenerate probability measure on the group, the corresponding space of bounded harmonic functions is trivial. Building on the previous work of Jaworski, a complete characterization of
Externí odkaz:
http://arxiv.org/abs/2406.05004
Publikováno v:
Journal of Intelligent & Fuzzy Systems. 2024, Vol. 46 Issue 3, p6589-6605. 17p.
Publikováno v:
In Information Sciences August 2024 677