Atıf İçin Kopyala
Tonyali C., Bayram E.
TURKISH JOURNAL OF MATHEMATICS, cilt.35, sa.2, ss.267-273, 2011 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
35
Sayı:
2
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Basım Tarihi:
2011
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Doi Numarası:
10.3906/mat-0903-37
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Dergi Adı:
TURKISH JOURNAL OF MATHEMATICS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
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Sayfa Sayıları:
ss.267-273
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Anahtar Kelimeler:
Invariant subspace, L- and M-weakly compact operator, Polynomially L-weakly (M-weakly) compact operator, Dunford-Pettis operator, DUNFORD-PETTIS OPERATORS, BANACH-LATTICES
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Gazi Üniversitesi Adresli:
Evet
Özet
In this paper, we show that positive L-weakly and M-weakly compact operators on some real Banach lattices have a non-trivial closed invariant subspace. Also, we prove that any positive L-weakly (or M-weakly) compact operator T : E -> E has a non-trivial closed invariant subspace if there exists a Dunford-Pettis operator S : E -> E satisfying 0 <= T <= S, where E is Banach lattice.