Lineability within Probability Theory settings
| Autor: | Juan B. Seoane-Sepúlveda, Marina Murillo-Arcila, M. Mar Fenoy, J. Alberto Conejero |
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| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Spaceability
Random variable Banach space Lineability 01 natural sciences symbols.namesake Probability theory 0101 mathematics Fourier series Dirichlet series Análisis funcional y teoría de operadores Mathematics Algebra and Number Theory Stochastic process Applied Mathematics 010102 general mathematics 010101 applied mathematics Algebra Computational Mathematics Martingale symbols Geometry and Topology MATEMATICA APLICADA Martingale (probability theory) Analysis Vector space |
| Zdroj: | Repositori Universitat Jaume I Universitat Jaume I RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia instname |
| Popis: | [EN] 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. This work was partially supported by Ministerio de Educacion, Cultura y Deporte, projects MTM2013-47093-P and MTM2015-65825-P, by the Basque Government through the BERC 2014-2017 program and by the Spanish Ministerio de Economia y Competitividad: BCAM Severo Ochoa excellence accreditation SEV-2013-0323. |
| Databáze: | OpenAIRE |
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