RT journal article T1 Lineability within probability theory settings A1 Conejero, J.A. A1 Fenoy, M. A1 Murillo Arcila, Marina A1 Seoane-Sepúlveda, J.B. A2 Matemáticas K1 lineability K1 spaceability K1 probability theory K1 random variable K1 stochastic process K1 martingale AB The search of lineability consists on  finding large vectorspaces of mathematical objects with special properties. Such exampleshave arisen in the last years in a wide range of settings such as in realand complex analysis, sequence spaces, linear dynamics, norm-attainingfunctionals, zeros of polynomials in Banach spaces, Dirichlet series, andnon-convergent Fourier series, among others.In this paper we present the novelty of linking this notion of lineabilityto the area of Probability Theory by providing positive (and negative)results within the framework of martingales, random variables,and certain stochastic processes. PB Springer SN 1578-7303 YR 2017 FD 2017 LK http://hdl.handle.net/10498/35440 UL http://hdl.handle.net/10498/35440 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 11-nov-2026