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.
|Titolo:||A short remark on Kolmogoroff normability theorem|
|Autori interni:||CARUSO, ANDREA ORAZIO|
|Data di pubblicazione:||2002|
|Rivista:||ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS|
|Appare nelle tipologie:||1.1 Articolo in rivista|