Lineability and spaceability for the weak form of Peano’s theorem and vector-valued sequence spaces

DOI10.1090/S0002-9939-2012-11466-2zbMath1285.46016arXiv1105.2845MaRDI QIDQ2838949

Cleon S. Barroso, Vinícius Vieira Fávaro, Geraldo Botelho, Daniel M. Pellegrino

Publication date: 4 July 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.2845

zbMATH Keywords

Peano's theoremspaceabilitylineabilityvector-valued sequence spaces

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (9)

Lineability and spaceability: a new approach ⋮ Constructing Banach spaces of vector-valued sequences with special properties ⋮ On the size of certain subsets of invariant Banach sequence spaces ⋮ A general lineability criterion for complements of vector spaces ⋮ Non-Lipschitz functions with bounded gradient and related problems ⋮ Basic sequences and spaceability in \(\ell_p\) spaces ⋮ Nonseparable spaceability and strong algebrability of sets of continuous singular functions ⋮ Lineability and modes of convergence ⋮ Linear subsets of nonlinear sets in topological vector spaces

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