Lineability within Probability Theory settings
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Other documents of the author: Conejero, J. Alberto; Fenoy, Mar; murillo arcila, marina; Seoane Sepúlveda, Juan
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
Lineability within Probability Theory settingsDate
2016Publisher
SpringerISSN
1578-7303; 1579-1505Bibliographic citation
CONEJERO, J. Alberto, et al. Lineability within probability theory settings. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016, p. 1-12.Type
info:eu-repo/semantics/articlePublisher version
http://link.springer.com/article/10.1007/s13398-016-0318-yVersion
info:eu-repo/semantics/sumittedVersionSubject
Abstract
The search of lineability consists on nding 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 ... [+]
The search of lineability consists on nding 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. [-]
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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016Rights
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