Lineability within probability theory settings

DOI10.1007/S13398-016-0318-YzbMath1383.46022OpenAlexW2464091072MaRDI QIDQ2412810

Marina Murillo-Arcila, J. Alberto Conejero, M. Fenoy, Juan B. Seoane-Sepúlveda

Publication date: 27 October 2017

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10234/164947

zbMATH Keywords

stochastic processmartingalerandom variableprobability theoryspaceabilitylineability

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Vector spaces, linear dependence, rank, lineability (15A03) Limit theorems in probability theory (60F99)

Related Items (17)

Lineability, spaceability, and latticeability of subsets of \(C([0, 1)\) and Sobolev spaces] ⋮ Lineability and unbounded, continuous and integrable functions ⋮ Modes of convergence in nets, counterexamples, and lineability ⋮ Lineability of the functions that are Sierpiński-Zygmund, Darboux, but not connectivity ⋮ Lineability, algebrability, and sequences of random variables ⋮ Algebraic structures in the set of sequences of independent random variables ⋮ Highly tempering infinite matrices. II: From divergence to convergence via Toeplitz-Silverman matrices ⋮ Undominated sequences of integrable functions ⋮ Algebraic genericity and summability within the non-Archimedean setting ⋮ Lineability within Peano curves, martingales, and integral theory ⋮ Algebraic genericity and the differentiability of the convolution ⋮ \( \mathfrak{c} \)-lineability: a general method and its application to Darboux-like maps ⋮ Maximal lineability of several subclasses of Darboux-like maps on \(\mathbb{R}\) ⋮ Modes of convergence of random variables and algebraic genericity ⋮ Lineability and modes of convergence ⋮ Maximal lineability of the class of Darboux not connectivity maps on \(\mathbb{R}\) ⋮ Maximal lineability of the classes of functions in the algebra of Darboux-like maps that are Darboux but not connectivity

Cites Work

• Hypercyclicité d'opérateurs de convolution sur des espaces de fonctions entières
• Constructing Banach spaces of vector-valued sequences with special properties
• Lineability in subsets of measure and function spaces
• An undecidable case of lineability in \(\mathbb R^{\mathbb R}\)
• Almost overcomplete and almost overtotal sequences in Banach spaces
• Basic sequences and spaceability in \(\ell_p\) spaces
• Lineability criteria, with applications
• Linear subsets of nonlinear sets in topological vector spaces
• Lineability and spaceability on vector-measure spaces
• Lineability
• Lineability and spaceability of sets of functions on $\mathbb {R}$
• Some results and open questions on spaceability in function spaces
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