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Journals / Gazi Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2002 / Cilt: 15 - Sayı: 2

Properties of adjoint operator between f-orthomorphisms

f-Orthomorfizmaları arasındaki eşlenik operatörünün özellikleri

Cüneyt ÇEVİK
Pages
503–507
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We show that, if Eand F are topologically full f-moduls with respect to A then adjoint operator is a Riesz homomorphism and if, in addition,E^~ =E^~_n or $F^~=F^~_n then adjoint operator is an order continuous operator.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we are concerned with properties of adjoint operator between f-orthomorphisms.
📊
Key Findings & Data:In this study, we are concerned with properties of adjoint operator between f-orthomorphisms.
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Conclusion & Impact:We show that, if Eand F are topologically full f-moduls with respect to A then adjoint operator is a Riesz homomorphism and if, in addition,E^~ =E^~_n or $F^~=F^~_n then adjoint operator is an order continuous operator.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, we are concerned with properties of adjoint operator between f-orthomorphisms. We show that, if Eand F are topologically full f-moduls with respect to A then adjoint operator is a Riesz homomorphism and if, in addition,E^~ =E^~_n or $F^~=F^~_n then adjoint operator is an order continuous operator.

Özet

Bu çalışmada, f-orthomorfızmaları arasındaki eşlenik operatörünün özellikleri incelenmiştir. E ve F , A ya göre topolojik dolu f-modüller olduklarında eşlenik operatörünün Riesz homomorfizması olduğu, E^~ =E^~_n veya F^~=F^~_n olduğunda da eşlenik operatörünün sıra sürekli olduğu gösterilmiştir.

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Cite This Article

ÇEVİK, C. (2022). Properties of adjoint operator between f-orthomorphisms. Gazi Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 15 - Sayı: 2, 503–507. https://ajindex.com/articles/522325

References (1)

  1. Aliprantis, CD., Burkinshaw, O., "Positive Operators", Academic Press, London,(1985). 2.Alpay, Ş., Turan, B., "Order properties of the adjoint", Tr. J. of Mathematics 17, 273-279, (1993). 3.Huijsman, CD., Pagter, B.de, "The order bidual of lattice ordered algebras", J. Func. Anal. 59, 41-64, (1984). 4.Luxemburg, W.A.J., Zaanen, A.C, ''Riesz Spaces I", North Holland, Amsterdam, (1971). 5.Turan, B., "On f-linearity and f-orthomorphisms", Positivity 4, 293-301, (2000). 6.Zaanen, A.C.,''Riesz Spaces II", North Holland, Amsterdam, (1983).