Boundedness Of Involutions In Topological Algebras With Orthonormal Generalized Bases

Year 2025, Volume: 7 Issue: 1, 1 - 8, 30.04.2025

Ramasamy Ct , Ganesa Moorthy C , Ramkumar Solai

https://doi.org/10.47087/mjm.1541646

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.

Keywords

Net convergence, Automatic continuity, Schauder bases, Topological algebras.

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