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

M. Axarlis; I. Deliyanni; Th. Loukidou; V. Nestoridis; K. Papanikos; N. Tziotziou

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

Functional Analysis 2021-10-05 v1

Authors: M. Axarlis , I. Deliyanni , Th. Loukidou , V. Nestoridis , K. Papanikos , N. Tziotziou

Abstract

We examine topological and algebraic genericity and spaceability for any pair $(X,Y)$ , $X\subset Y$ , $X\neq Y$ belonging to an extended chain of sequence spaces which contains the $\ell^p$ spaces, $0<p\leq \infty$ .

Keywords

topological genericity algebraic genericity spaceability sequence spaces extended chain lp spaces

Cite

@article{arxiv.2110.01088,
  title  = {Topological and algebraic genericity and spaceability for an extended chain of sequence spaces},
  author = {M. Axarlis and I. Deliyanni and Th. Loukidou and V. Nestoridis and K. Papanikos and N. Tziotziou},
  journal= {arXiv preprint arXiv:2110.01088},
  year   = {2021}
}

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8 pages

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

Abstract

Keywords

Cite

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