Topological amenability and Köthe co-echelon algebras

نویسندگان

چکیده

Abstract We introduce a notion of topologically flat locally convex module, which extends the Banach module and is well adapted to nonmetrizable setting (and especially DF-modules). Using this notion, we amenable algebras show that complete barrelled DF-algebra if only it Johnson amenable, extending thereby Helemskii–Sheinberg’s criterion for algebras. As an application, completely characterize Köthe co-echelon

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ژورنال

عنوان ژورنال: Banach Journal of Mathematical Analysis

سال: 2022

ISSN: ['1735-8787', '2662-2033']

DOI: https://doi.org/10.1007/s43037-021-00163-5