RT Journal Article
T1 Lineability within probability theory settings
A1 Conejero, José Alberto
A1 Fenoy Muñoz, María Del Mar
A1 Murillo Arcila, Marina
A1 Seoane Sepúlveda, Juan Benigno
AB The search of lineability consists on finding large vector spaces of mathematical objects with special properties. Such examples have arisen in the last years in a wide range of settings such as in real and complex analysis, sequence spaces, linear dynamics, norm-attaining functionals, zeros of polynomials in Banach spaces, Dirichlet series, and non-convergent Fourier series, among others. In this paper we present the novelty of linking this notion of lineability to the area of Probability Theory by providing positive (and negative) results within the framework of martingales, random variables, and certain stochastic processes.
PB Springer Milan
SN 15787303
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/17901
UL https://hdl.handle.net/20.500.14352/17901
LA eng
NO Conejero, J. A., Fenoy Muñoz, M. M., Murillo Arcila, M. et al. «Lineability within Probability Theory Settings». Revista de La Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, vol. 111, n.o 3, julio de 2017, pp. 673-84. DOI.org (Crossref), https://doi.org/10.1007/s13398-016-0318-y.
NO Ministerio de Economía, Comercio y Empresa (España)
NO Ministerio de Educación, Formación Profesional y Deportes (España)
NO Ekonomiaren Garapen eta Lehiakortasun Saila, Eusko Jaurlaritza
NO Sociedad Española para la Investigación de las Diferencias Individuales
DS Docta Complutense
RD 7 abr 2025