Spaceability of the sets of surjective and injective operators between sequence spaces

DOI10.1007/s13398-020-00922-3OpenAlexW3081419732WikidataQ114219838 ScholiaQ114219838MaRDI QIDQ2006209

Anselmo jun. Raposo, Diogo Diniz Pereira da Silva e Silva, Vinícius Vieira Fávaro, Daniel M. Pellegrino

Publication date: 8 October 2020

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: https://arxiv.org/abs/2005.02085

zbMATH Keywords

sequence spacesspaceabilitylineability

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear spaces of operators (47L05) Vector spaces, linear dependence, rank, lineability (15A03) Operator theory (47-XX) Lineability in functional analysis (46B87)

Related Items (5)

Pointwise lineability in sequence spaces ⋮ A general lineability criterion for complements of vector spaces ⋮ Large structures within the class of summing operators ⋮ General criteria for a stronger notion of lineability ⋮ A note on the geometry of certain classes of linear operators

Cites Work

• Algebraic structures in the sets of surjective functions
• Peano curves on topological vector spaces
• Spaceability in Banach and quasi-Banach sequence spaces
• Spaceability in norm-attaining sets
• Constructing Banach spaces of vector-valued sequences with special properties
• On the size of special families of linear operators
• Lineability and spaceability: a new approach
• A century of Sierpiński-Zygmund functions
• Basic sequences and spaceability in \(\ell_p\) spaces
• Lineability criteria, with applications
• Lineability
• Lineability and spaceability of sets of functions on $\mathbb {R}$
• Self-similar functions, fractals and algebraic genericity

This page was built for publication: Spaceability of the sets of surjective and injective operators between sequence spaces