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Journals / Maltepe Journal of Mathematics / 2026 / Volume: 7 Issue: 1

Boundedness Of Involutions In Topological Algebras With Orthonormal Generalized Bases

Ramasamy Ct(Alagappa Government Arts College)0000-0002-2917-0092
Ganesa Moorthy C(Alagappa University)0000-0003-3119-7531
Ramkumar Solai(Alagappa Government Polytechnic College)0000-0001-5011-774X
Pages
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Publication Date
2025-04-30
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

This result is obtained through a representation for involutions in these algebras.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:A main result of this article establishes that every involution in a sequentially complete locally convex topological algebra with an orthonormal generalized basis is bounded.
📊
Key Findings & Data:A main result of this article establishes that every involution in a sequentially complete locally convex topological algebra with an orthonormal generalized basis is bounded.
💡
Conclusion & Impact:This result is obtained through a representation for involutions in these algebras.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Net convergence · Automatic continuity · Schauder bases

Abstract

A main result of this article establishes that every involution in a sequentially complete locally convex topological algebra with an orthonormal generalized basis is bounded. This result is obtained through a representation for involutions in these algebras.

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Cite This Article

Ct, R., C, G. M., Solai, R. (2025). Boundedness Of Involutions In Topological Algebras With Orthonormal Generalized Bases. Maltepe Journal of Mathematics, Volume: 7 Issue: 1. https://doi.org/10.47087/mjm.1541646

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