A remark to a theorem of Yu. A. Abramovich

---

Emel'yanov E.

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.