Derived functors associated to the ideal of compact operators in Banach spaces
F\'elix Cabello S\'anchez, Jes\'us M. F. Castillo, Alberto Salguero-Alarc\'on, Nazaret Trejo-Arroyo
TL;DR
This paper computes derived functors related to compact operators in Banach spaces, providing new insights into their extension and lifting properties.
Contribution
It introduces novel calculations of derived functors for the ideal of compact operators, advancing understanding of their extension and lifting in Banach spaces.
Findings
New calculations of derived functors for compact operators
Results on extension of compact operators
Results on lifting of compact operators
Abstract
We compute the derived functors of (the functors associated to) the ideal of compact operators in Banach spaces and obtain new results about the extension and lifting of compact operators.
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Taxonomy
TopicsAdvanced Banach Space Theory · Holomorphic and Operator Theory · Advanced Operator Algebra Research