The property of smallness up to a complemented Banach subspace
PUBLICATIONES MATHEMATICAE-DEBRECEN, cilt.64, ss.415-425, 2004 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 64
- Basım Tarihi: 2004
- Dergi Adı: PUBLICATIONES MATHEMATICAE-DEBRECEN
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.415-425
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
This article investigates locally convex spaces which satisfy the property of smallness up to a complemented Banach subspace, the SCBS property, which was introduced by Djakov, Terzioglu, Yurdakul and Zahariuta. It is proved that a bounded perturbation of an automorphism on a complete barrelled locally convex, space with the SCBS is stable up to a Banach subspace. New examples are given, and the relation of the SCBS with the quasinormability is analyzed. It is proved that the Frechet space l(p+) does not satisfy the SCBS, therefore this property is not inherited by subspaces or separated quotients.