RT Journal Article
T1 Lineability within probability theory settings
A1 Conejero, Jose A.
A1 Fenoy, Mar
A1 Murillo Arcila, Marina
A1 Seoane-Sepúlveda, Juan B.
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 Ministerio de Economía y Competitividad (MINECO)
NO Ministerio de Educación, Cultura y Deporte (MECD)
NO Ekonomiaren Garapen eta Lehiakortasun Saila, Eusko Jaurlaritza
NO SEIDI
DS Docta Complutense
RD 2 may 2024