A positive doubly power bounded operator with a nonpositive inverse exists on any infinite-dimensional AL-Space

Alpay S., Binhadjah A., Emel'yanov E.

Positivity, cilt.10, sa.1, ss.105-110, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1007/s11117-005-0037-7
  • Dergi Adı: Positivity
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.105-110
  • Anahtar Kelimeler: AL-spaces, Doubly power bounded operator, Positive isometry, Renorming problem
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In this paper we construct a positive doubly power bounded operator with a nonpositive inverse on an AL-space. © 2006 Birkhäuser Verlag.