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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 53 Issue: 3

Statistically order compact operators on Riesz spaces

Abdullah Aydın(MUS ALPARSLAN UNIVERSITY)
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Yayın Tarihi
2024-06-27
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

By utilizing these non-topological concepts, we derive some new results pertaining to these operators.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This research paper introduces and establishes the concept of compact operators in the context of Riesz spaces, specifically considering statistical order convergence.
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Temel Bulgular & Veri:We define statistical order compact operators as operators that map statistical order bounded sequences to sequences with statistical order convergent subsequences.
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Sonuç & Katkı:By utilizing these non-topological concepts, we derive some new results pertaining to these operators.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:compact operator · Riesz space · statistical order convergence

Abstract

This research paper introduces and establishes the concept of compact operators in the context of Riesz spaces, specifically considering statistical order convergence. We define statistical order compact operators as operators that map statistical order bounded sequences to sequences with statistical order convergent subsequences. Additionally, we define statistical $M$-weakly compact operators. By utilizing these non-topological concepts, we derive some new results pertaining to these operators.

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Bu Makaleye Atıf Yap

Aydın, A. (2024). Statistically order compact operators on Riesz spaces. Hacettepe Journal of Mathematics and Statistics, Volume: 53 Issue: 3. https://doi.org/10.15672/hujms.1223922

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