Caruso, A. (2002) A Short Remark on Kolmogoroff Normability Theorem. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 18 (2). pp. 67-70. ISSN 0866-0174
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Abstract
Kolmogoroff 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.
| Item Type: | Article |
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| Uncontrolled Keywords: | Topological Vector Spaces, Normability Criteria, Completeness |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 30 Jan 2024 07:49 |
| Last Modified: | 30 Jan 2024 08:19 |
| URI: | http://real.mtak.hu/id/eprint/186658 |
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