Kolmogorof normability theorem turns to be a characterization for the complete normability of a topological vector space by replacing the convexity hypothesis with the sigma convexity one. In particular, the well known theorem that characterizes completeness of a normed vector spaces by means of absolutely convergent series, is obtained as an easy consequence of the Theorem below.
A short remark on Kolmogoroff normability theorem
CARUSO, ANDREA ORAZIO
2002-01-01
Abstract
Kolmogorof normability theorem turns to be a characterization for the complete normability of a topological vector space by replacing the convexity hypothesis with the sigma convexity one. In particular, the well known theorem that characterizes completeness of a normed vector spaces by means of absolutely convergent series, is obtained as an easy consequence of the Theorem below.File in questo prodotto:
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