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Sectional analyticity in sequence spaces. (English) Zbl 1201.46002

Summary: The object of the present paper is to introduce the \(\Lambda\)-dual and the concept of sectional analyticity (Abschnitts-analytic or AA-property) of an FK-space. The motivation for the AA-property is that a sequence space having the AK-property possesses the AA-property.

MSC:

46A45 Sequence spaces (including Köthe sequence spaces)
40H05 Functional analytic methods in summability