On the size of the set of unbounded multilinear operators between Banach spaces

2020/02/16 by Favaro, V. V., Pellegrino, D., Rueda, P.
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2002.06689

Abstract

Among other results we investigate ( α,β) -lineability of the set of non-continuous m-linear operators defined between normed spaces as a subset of the space of all m-linear operators. We also give a partial answer to an open problem on the lineability of the set of non absolutely summing operators.

Related

• Lineability of the set of bounded linear non-absolutely summing operators
• Linear structures in the set of non-norm-attaining operators on Banach spaces
• Spaceability of the set of bounded linear non-absolutely summing\n operators in Quasi-Banach sequence spaces
• Spaceability of sets of non-injective maps
• A note on lineability