Topological and algebraic genericity and spaceability for an extended chain of sequence spaces

DOI10.1007/s00605-022-01732-yOpenAlexW3202923069MaRDI QIDQ2689298

M. Axarlis, N. Tziotziou, K. Papanikos, Th. Loukidou, Irene Deliyanni, Vassilis Nestoridis

Publication date: 9 March 2023

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.01088

zbMATH Keywords

spaceabilityBaire's theoremalgebraic genericitytopological genericity\(\ell^p\) spaces

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Banach spaces of continuous, differentiable or analytic functions (46E15) Lineability in functional analysis (46B87)

Related Items (1)

Uncountably infinite algebraic genericity and spaceability for sequence spaces

Cites Work

• On dense-lineability of sets of functions on \(\mathbb R\)
• Intersections of \(\ell^p\) spaces in the Borel hierarchy
• Linear subsets of nonlinear sets in topological vector spaces
• Lineability
• Abstract theory of universal series and applications
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Topological and algebraic genericity and spaceability for an extended chain of sequence spaces