A note on lineability

2009/05/16 by Geraldo Botelho, G. Botelho, D. Diniz +9
Mathematics · #47B10 #47B37 #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:47B10 #msc:47B37

paper · pdf · doi:10.48550/arxiv.0905.2677

4 pages

arxiv created 2009/05/16 · openalex publication_date 2009/05/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we answer a question concerning lineability of the set of non-absolutely summing operators.

Related

• Lineability of the set of bounded linear non-absolutely summing operators
• On the multilinear extensions of the concept of absolutely summing operators
• Absolutely γ-Summing Multilinear Operators
• On the size of the set of unbounded multilinear operators between Banach spaces
• Absolutely summing multilinear operators on ℓ_p spaces