On subprojectivity and superprojectivity of Banach spaces
El\'oi M. Galego, Manuel Gonz\'alez, Javier Pello
TL;DR
This paper explores the properties of subprojective and superprojective Banach spaces, providing new examples, conditions, and stability results for non-reflexive cases, enhancing understanding of their structure.
Contribution
It introduces new examples and conditions for subprojective and superprojective Banach spaces, including stability under certain operations, advancing the theoretical framework.
Findings
Provided new examples of subprojective and superprojective spaces.
Identified conditions for non-reflexive superprojective spaces.
Established stability of these conditions under $c_0$-sums and tensor products.
Abstract
We obtain some results for and further examples of subprojective and superprojective Banach spaces. We also give several conditions providing examples of non-reflexive superprojective spaces; one of these conditions is stable under -sums and projective tensor products.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.