Atıf İçin Kopyala
Emel'Yanov E.
POSITIVITY, cilt.1, sa.4, ss.291-295, 1997 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
1
Sayı:
4
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Basım Tarihi:
1997
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Doi Numarası:
10.1023/a:1009764031312
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Dergi Adı:
POSITIVITY
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Sayfa Sayıları:
ss.291-295
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Anahtar Kelimeler:
Banach lattice, reflexive Banach lattice, countable order completeness, power-bounded operator, mean ergodic operator, regular operator
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Orta Doğu Teknik Üniversitesi Adresli:
Hayır
Özet
Given a Banach lattice E that fails to be countably order complete, we construct a positive compact operator A : E --> E for which T = I - A is power-bounded and not mean ergodic. As a consequence, by using the theorem of R. Zaharopol, we obtain that if every power-bounded operator in a Banach lattice is mean ergodic then the Banach lattice is reflexive.