- Tytuł:
- On orthogonally additive injections and surjections
- Autorzy:
- Baron, Karol
- Powiązania:
- https://bibliotekanauki.pl/articles/746346.pdf
- Data publikacji:
- 2015
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
orthogonal additivity
inner product space
linear topological space
Tychonoff topology
dense set - Opis:
- Let \(E\) be a real inner product space of dimension at least 2 and \(V\) a linear topological Hausdorff space. If \(\operatorname{card}E\leq \operatorname{card} V\), then the set of all orthogonally additive injections mapping \(E\) into \(V\) is dense in the space of all orthogonally additive functions from \(E\) into \(V\) with the Tychonoff topology. If \(\operatorname{card}V\leq \operatorname{card}E\), then the set of all orthogonally additive surjections mapping \(E\) into \(V\) is dense in the space of all orthogonally additive functions from \(E\) into \(V\) with the Tychonoff topology.
- Źródło:
-
Commentationes Mathematicae; 2015, 55, 2
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł