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|
|Data di pubblicazione:||2002|
|Citazione:||A short remark on Kolmogoroff normability theorem / CARUSO A.O.. - In: ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS. - ISSN 1786-0091. - 18(2002), pp. 67-70.|
|Appare nelle tipologie:||1.1 Articolo in rivista|