A remark to a theorem of Yu. A. Abramovich
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, cilt.132, sa.3, ss.781-782, 2004 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 132 Sayı: 3
- Basım Tarihi: 2004
- Doi Numarası: 10.1090/s0002-9939-03-07111-9
- Dergi Adı: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.781-782
- Anahtar Kelimeler: positive isometry, doubly power bounded operator, renorming problem
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
A remarkable theorem due to Abramovich (1988) states that any surjective positive isometry on a Banach lattice has a positive inverse. In this note we discuss a renorming problem for Banach lattices and show that the theorem cannot be generalized to the case of the doubly power bounded positive operators.