Lineability of the set of bounded linear non-absolutely summing operators

DOI10.1016/j.jmaa.2009.03.062zbMath1167.47016arXiv0811.0092OpenAlexW2963290818MaRDI QIDQ1025825

Geraldo Botelho, Daniel M. Pellegrino, Diogo Diniz Pereira da Silva e Silva

Publication date: 23 June 2009

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

Full work available at URL: https://arxiv.org/abs/0811.0092

zbMATH Keywords

absolutely summing operatorslineability

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spaces of operators; tensor products; approximation properties (46B28)

Related Items

Lineability and spaceability: a new approach ⋮ Large structures within the class of summing operators ⋮ On the size of the set of unbounded multilinear operators between Banach spaces ⋮ Operator ranges and spaceability ⋮ Non-Lipschitz functions with bounded gradient and related problems ⋮ Bounded and unbounded polynomials and multilinear forms: Characterizing continuity ⋮ Spaceability and operator ideals ⋮ Some results and open questions on spaceability in function spaces ⋮ The history of a general criterium on spaceability ⋮ Lineability and additivity in \(\mathbb R^{\mathbb R}\) ⋮ Moduleability, algebraic structures, and nonlinear properties ⋮ Sierpiński-Zygmund functions and other problems on lineability ⋮ Linear structure in certain subsets of quasi-Banach sequence spaces ⋮ Algebrability, non-linear properties, and special functions ⋮ Linear subsets of nonlinear sets in topological vector spaces

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