Topological amenability and Köthe co-echelon algebras
Keyword(s):
AbstractWe introduce a notion of a topologically flat locally convex module, which extends the notion of a flat Banach module and which is well adapted to the nonmetrizable setting (and especially to the setting of DF-modules). Using this notion, we introduce topologically amenable locally convex algebras and we show that a complete barrelled DF-algebra is topologically amenable if and only if it is Johnson amenable, extending thereby Helemskii–Sheinberg’s criterion for Banach algebras. As an application, we completely characterize topologically amenable Köthe co-echelon algebras.
1998 ◽
Vol 62
(4)
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pp. 789-805
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1989 ◽
Vol 105
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pp. 147-159
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1974 ◽
Vol 44
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pp. 341
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2002 ◽
Vol 235
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pp. 51-58
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