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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We prove that S(G) is an ideal in its second dual space if and only if G is compact, where the second dual is equipped with an Arens multiplication.
📌 3 Key Takeaways
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Objective & Hypothesis:For a locally compact group G, let S(G) be a symmetric Segal algebra.
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Key Findings & Data:For a locally compact group G, let S(G) be a symmetric Segal algebra.
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Conclusion & Impact:We prove that S(G) is an ideal in its second dual space if and only if G is compact, where the second dual is equipped with an Arens multiplication.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Turk. J. Math. · (1999) · 323-332. Full text: pdf Other articles published in the same issue: Turk. J. Math.
Abstract
For a locally compact group G, let S(G) be a symmetric Segal algebra. We prove that S(G) is an ideal in its second dual space if and only if G is compact, where the second dual is equipped with an Arens multiplication.
Özet
For a locally compact group G, let S(G) be a symmetric Segal algebra. We prove that S(G) is an ideal in its second dual space if and only if G is compact, where the second dual is equipped with an Arens multiplication.
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Cite This Article
MUSTAFAYEV, H. S. (2022). Segal Algebra as an Ideal in its Second Dual Space. Turkish Journal of Mathematics, Cilt: 23 - Sayı: 2, 323–332. https://ajindex.com/articles/608971