Atıf İçin Kopyala
Machrafi N., ALTIN B.
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.51, sa.2, ss.483-493, 2022 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
51
Sayı:
2
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Basım Tarihi:
2022
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Doi Numarası:
10.15672/hujms.961727
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Dergi Adı:
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
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Sayfa Sayıları:
ss.483-493
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Anahtar Kelimeler:
b-order bounded set, order weakly compact operator, b-weakly compact operator, locally convex-solid Riesz space, Frechet lattice, Banach lattice
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Gazi Üniversitesi Adresli:
Evet
Özet
We study the class of order weakly compact operators on locally solid Riesz spaces and the introduced class of generalized b-weakly compact operators on locally convex-solid Riesz spaces. We prove as a consequence that some well-known results on b-weakly compact operators on a Banach lattice extend in an improved version to generalized b-weakly compact operators on a Frechet lattice. Mathematics Subject Classification (2020). 46A40, 46B42, 47B60