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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We prove that if l(A),l(B) and l(C) are Köthe spaces such that L(l(A),l(B)) and L(l(C),l(A)) consist of bounded operators then each operator acting on l(A) that factors over l(B)\widehat\otimesp l(C) is bounded.
📌 3 Key Takeaways
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Objective & Hypothesis:We prove that if l(A),l(B) and l(C) are Köthe spaces such that L(l(A),l(B)) and L(l(C),l(A)) consist of bounded operators then each operator acting on l(A) that factors over l(B)\widehat\otimesp l(C) is bounded.
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Key Findings & Data:We prove that if l(A),l(B) and l(C) are Köthe spaces such that L(l(A),l(B)) and L(l(C),l(A)) consist of bounded operators then each operator acting on l(A) that factors over l(B)\widehat\otimesp l(C) is bounded.
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Conclusion & Impact:We prove that if l(A),l(B) and l(C) are Köthe spaces such that L(l(A),l(B)) and L(l(C),l(A)) consist of bounded operators then each operator acting on l(A) that factors over l(B)\widehat\otimesp l(C) is bounded.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Turk. J. Math. · (2002) · 229-236. Full text: pdf Other articles published in the same issue: Turk. J. Math.
Abstract
We prove that if l(A),l(B) and l(C) are Köthe spaces such that L(l(A),l(B)) and L(l(C),l(A)) consist of bounded operators then each operator acting on l(A) that factors over l(B)\widehat\otimesp l(C) is bounded.
Özet
We prove that if l(A),l(B) and l(C) are Köthe spaces such that L(l(A),l(B)) and L(l(C),l(A)) consist of bounded operators then each operator acting on l(A) that factors over l(B)\widehat\otimesp l(C) is bounded.
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Cite This Article
DJAKOV, P., TERZİOĞLU, T., YURDAKUL, M., ZAHARİUTA, V. (2022). Remarks on Bounded Operators in Köthe Spaces. Turkish Journal of Mathematics, Cilt: 26 - Sayı: 2, 229–235. https://ajindex.com/articles/608841