Almost overcomplete and almost overtotal sequences in Banach spaces

DOI10.1016/j.jmaa.2014.05.045zbMath1310.46015arXiv1402.6247OpenAlexW2004399948MaRDI QIDQ2252056

Clemente Zanco, Vladimir P. Fonf

Publication date: 16 July 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6247

zbMATH Keywords

overcomplete sequenceovertotal sequence

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (9)

Hypercyclic subsets ⋮ Lineability within probability theory settings ⋮ Constructing Banach spaces of vector-valued sequences with special properties ⋮ Almost overcomplete and almost overtotal sequences in Banach spaces. II. ⋮ Dense lineability and spaceability in certain subsets of ℓ∞$\ell _{\infty }$ ⋮ Self-similar functions, fractals and algebraic genericity ⋮ Overcomplete sets in non-separable Banach spaces ⋮ On the existence of overcomplete sets in some classical nonseparable Banach spaces ⋮ Thin sets of constant width

Cites Work

• Basic sequences and spaceability in \(\ell_p\) spaces
• Overcompleteness of sequences of reproducing kernels in model spaces
• Some results and open questions on spaceability in function spaces
• On ω*-basic sequences and their applications to the study of Banach spaces
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