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Listar por palabra clave "Lipschitz function"

Mostrando ítems 1-8 de 8

Compact reduction in Lipschitz-free spaces

Aliaga, Ramón J.; Nous, Camille; Petitjean, Colin; Prochazka, Antonin (Institute of Mathematics, Polish Academy of Sciences, 2021)

[EN] We prove a general principle satisfied by weakly precompact sets of Lip-schitz-free spaces. By this principle, certain infinite-dimensional phenomena in Lipschitzfree spaces over general metric spaces may be reduced ...
Design Trend Forecasting by Combining Conceptual Analysis and Semantic Projections: New Tools for Open Innovation

Manetti, Alessandro; Ferrer Sapena, Antonia; Sánchez Pérez, Enrique Alfonso; Lara-Navarra, Pablo (MDPI AG, 2021-03-10)

[EN] In this paper, we describe a new trend analysis and forecasting method (Deflexor), which is intended to help inform decisions in almost any field of human social activity, including, for example, business, art and ...
Extensión de funciones $\phi-$Lipschitz y aplicaciones

González Cortés, Álvaro (Universitat Politècnica de València, 2023-09-21)

[ES] Los teoremas clásicos de extensión de funciones reales de Lipschitz, debidos a McShane y Whitney, han encontrado numerosas aplicaciones en muchos campos, como la economía, el análisis matemático y, recientemente, en ...
Normal functionals on Lipschitz spaces are weak* continuous

Aliaga, Ramón J.; Pernecká, Eva (Cambridge University Press, 2022-11)

[EN] Let Lip0(M) be the space of Lipschitz functions on a complete metric space M that vanish at a base point. We prove that every normal functional in Lip0(M)¿ is weak* continuous; that is, in order to verify weak* ...
On the preserved extremal structure of Lipschitz-free spaces

Aliaga, Ramón J.; Guirao Sánchez, Antonio José (Institute of Mathematics, Polish Academy of Sciences, 2019)

[EN] We characterize preserved extreme points of the unit ball of Lipschitz-free spaces F(X) in terms of simple geometric conditions on the underlying metric space (X,d). Namely, the preserved extreme points are the ...
Power-aggregation of pseudometrics and the McShane-Whitney extension theorem for Lipschitz p-convace maps

Rodríguez López, Jesús; Sánchez Pérez, Enrique Alfonso (Springer-Verlag, 2020-12)

[EN] Given a countable set of families {Dk:k¿N} of pseudometrics over the same set D, we study the power-aggregations of this class, that are defined as convex combinations of integral averages of powers of the elements ...
Semi-Lipschitz functions and machine learning for discrete dynamical systems on graphs

Falciani, H.; Sánchez Pérez, Enrique Alfonso (Springer-Verlag, 2022-05)

[EN] Consider a directed tree U and the space of all finite walks on it endowed with a quasi-pseudo-metric-the space of the strategies S on the graph,-which represent the possible changes in the evolution of a dynamical ...
Supports in Lipschitz-free spaces and applications to extremal structure

Aliaga, Ramón J.; Pernecká, Eva; Petitjean, Colin; Procházka, Antonín (Elsevier, 2020-09-01)

[EN] We show that the class of Lipschitz-free spaces over closed subsets of any complete metric space M is closed under arbitrary intersections, improving upon the previously known finite-diameter case. This allows us to ...