Totally smooth renormings
Eve Oja, Tauri Viil, Dirk Werner
TL;DR
This paper investigates the construction of totally smooth renormings in Banach spaces, especially those that are weakly compactly generated, and extends the study to $(a,B,c)$-ideals.
Contribution
It introduces new totally smooth renormings for weakly compactly generated Banach spaces and explores renormings for $(a,B,c)$-ideals, advancing the understanding of smoothness in Banach space geometry.
Findings
Established totally smooth renormings for weakly compactly generated Banach spaces.
Extended renorming techniques to $(a,B,c)$-ideals.
Provided new methods for smoothness in Banach space renormings.
Abstract
We study the problem of totally smooth renormings of Banach spaces and provide such renormings for spaces which are weakly compactly generated. We also consider renormings for -ideals.
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Taxonomy
TopicsAdvanced Banach Space Theory