On orthogonally additive band operators and orthogonally additive disjointness preserving operators

TÜLÜ, DEMET; TURAN, BAHRİ

doi:10.55730/1300-0098.3425

On orthogonally additive band operators and orthogonally additive disjointness preserving operators

Bahri TURAN, (Gazi Üniversitesi, Fen Fakültesi, Matematik Bölümü, Ankara, Türkiye)

Demet TÜLÜ (Gazi Üniversitesi, Fen Fakültesi, Matematik Bölümü, Ankara, Türkiye)

Turkish Journal of Mathematics

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Yıl: 2023 Cilt: 47 Sayı: 4 Sayfa Aralığı: 1258 - 1266 Metin Dili: İngilizce DOI: 10.55730/1300-0098.3425 İndeks Tarihi: 14-03-2024

On orthogonally additive band operators and orthogonally additive disjointness preserving operators

Öz:

Let M and N be Archimedean vector lattices. We introduce orthogonally additive band operators and orthogonally additive inverse band operators from M to N and examine their properties. We investigate the relationship between orthogonally additive band operators and orthogonally additive disjointness preserving operators and show that under some assumptions on vector lattices M or N , these two classes are the same. By using this relation, we show that if μ is a bijective orthogonally additive band operator (resp. orthogonally additive disjointness preserving operator) from M into N then μ−1 : N → M is an orthogonally additive band operator (resp. orthogonally additive disjointness preserving operator).

Anahtar Kelime: Vector lattice orthogonally additive band operator orthogonally additive inverse band operator orthogo- nally additive disjointness preserving operator

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	TURAN B, TÜLÜ D (2023). On orthogonally additive band operators and orthogonally additive disjointness preserving operators. , 1258 - 1266. 10.55730/1300-0098.3425
Chicago	TURAN BAHRİ,TÜLÜ DEMET On orthogonally additive band operators and orthogonally additive disjointness preserving operators. (2023): 1258 - 1266. 10.55730/1300-0098.3425
MLA	TURAN BAHRİ,TÜLÜ DEMET On orthogonally additive band operators and orthogonally additive disjointness preserving operators. , 2023, ss.1258 - 1266. 10.55730/1300-0098.3425
AMA	TURAN B,TÜLÜ D On orthogonally additive band operators and orthogonally additive disjointness preserving operators. . 2023; 1258 - 1266. 10.55730/1300-0098.3425
Vancouver	TURAN B,TÜLÜ D On orthogonally additive band operators and orthogonally additive disjointness preserving operators. . 2023; 1258 - 1266. 10.55730/1300-0098.3425
IEEE	TURAN B,TÜLÜ D "On orthogonally additive band operators and orthogonally additive disjointness preserving operators." , ss.1258 - 1266, 2023. 10.55730/1300-0098.3425
ISNAD	TURAN, BAHRİ - TÜLÜ, DEMET. "On orthogonally additive band operators and orthogonally additive disjointness preserving operators". (2023), 1258-1266. https://doi.org/10.55730/1300-0098.3425

APA	TURAN B, TÜLÜ D (2023). On orthogonally additive band operators and orthogonally additive disjointness preserving operators. Turkish Journal of Mathematics, 47(4), 1258 - 1266. 10.55730/1300-0098.3425
Chicago	TURAN BAHRİ,TÜLÜ DEMET On orthogonally additive band operators and orthogonally additive disjointness preserving operators. Turkish Journal of Mathematics 47, no.4 (2023): 1258 - 1266. 10.55730/1300-0098.3425
MLA	TURAN BAHRİ,TÜLÜ DEMET On orthogonally additive band operators and orthogonally additive disjointness preserving operators. Turkish Journal of Mathematics, vol.47, no.4, 2023, ss.1258 - 1266. 10.55730/1300-0098.3425
AMA	TURAN B,TÜLÜ D On orthogonally additive band operators and orthogonally additive disjointness preserving operators. Turkish Journal of Mathematics. 2023; 47(4): 1258 - 1266. 10.55730/1300-0098.3425
Vancouver	TURAN B,TÜLÜ D On orthogonally additive band operators and orthogonally additive disjointness preserving operators. Turkish Journal of Mathematics. 2023; 47(4): 1258 - 1266. 10.55730/1300-0098.3425
IEEE	TURAN B,TÜLÜ D "On orthogonally additive band operators and orthogonally additive disjointness preserving operators." Turkish Journal of Mathematics, 47, ss.1258 - 1266, 2023. 10.55730/1300-0098.3425
ISNAD	TURAN, BAHRİ - TÜLÜ, DEMET. "On orthogonally additive band operators and orthogonally additive disjointness preserving operators". Turkish Journal of Mathematics 47/4 (2023), 1258-1266. https://doi.org/10.55730/1300-0098.3425