Lineability within Probability Theory settings
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Título
Lineability within Probability Theory settingsFecha de publicación
2016Editor
SpringerISSN
1578-7303; 1579-1505Cita bibliográfica
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.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://link.springer.com/article/10.1007/s13398-016-0318-yVersión
info:eu-repo/semantics/sumittedVersionPalabras clave / Materias
Resumen
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. [-]
Publicado en
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016Derechos de acceso
© Springer-Verlag Italia 2016
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