On some normability conditions
MATHEMATISCHE NACHRICHTEN, cilt.278, sa.14, ss.1714-1725, 2005 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 278 Sayı: 14
- Basım Tarihi: 2005
- Doi Numarası: 10.1002/mana.200310336
- Dergi Adı: MATHEMATISCHE NACHRICHTEN
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1714-1725
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
Various normability conditions of locally convex spaces (including Vogt interpolation classes DN phi and Omega phi as well as quasi- and asymptotic normability) are investigated. In particular, it is shown that on the class of Schwartz spaces the property of asymptotic normability coincides with the property GS, which is a natural generalization of Gelfand-Shilov countable normability (cf. [9, 25], where the metrizable case was treated). It is observed also that there are certain natural duality relationships among some of normability conditions. (c) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.