Atıf İçin Kopyala
Alpay S., Emelyanov E., Gorokhova S.
Positivity, cilt.28, sa.3, 2024 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
28
Sayı:
3
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Basım Tarihi:
2024
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Doi Numarası:
10.1007/s11117-024-01055-2
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Dergi Adı:
Positivity
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Business Source Elite, Business Source Premier, MathSciNet, zbMATH
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Anahtar Kelimeler:
46B25, 46B42, 46B50, 47B60, Banach lattice, Enveloping norm, Operator linear class, Regularly P-operator
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Orta Doğu Teknik Üniversitesi Adresli:
Evet
Özet
The span of positive linear operators belonging to an operator linear class P and acting between Banach lattices is rarely a Banach space under the operator norm. We investigate the enveloping norm ‖S‖r-P=inf{‖T‖:±S≤T∈P} on span(P+(E,F)) that is complete under rather mild assumptions on P.