On the category of quotient Banach spaces after Wegner
F\'elix Cabello S\'anchez, Jos\'e Navarro Garmendia
TL;DR
This paper explores the properties of Waelbroeck's category of Banach quotients after Wegner, analyzing its homological and functional analytic characteristics to deepen understanding of quotient Banach spaces.
Contribution
It provides new insights into the structure and properties of the category of quotient Banach spaces following Wegner's work.
Findings
Analysis of homological properties of the category
Identification of key functional analytic features
Enhanced understanding of quotient Banach space structure
Abstract
We study Waelbroeck's category of Banach quotients after Wegner, focusing on its basic homological and functional analytic properties.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research