Functional continuity of topological algebras with orthonormal bases
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Publication:4985498
DOI10.1142/S1793557121500595zbMath1475.46044OpenAlexW3014548164MaRDI QIDQ4985498
Chinnadurai Ganesa Moorthy, Gurusamy Siva
Publication date: 23 April 2021
Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793557121500595
orthogonal basis\(F\)-algebrasfunctional continuityfunctional boundednesslocally multiplicatively convex algebrasunconditional orthonormal basis
Automatic continuity (46H40) General theory of topological algebras (46H05) Structure, classification of topological algebras (46H20)
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Cites Work
- Dense inverse limit rings
- Orthogonal bases in a topological algebra are Schauder bases
- Uniqueness of $F$-algebra topology for commutative semisimple algebras
- Fréchet algebras with orthogonal basis
- Functional continuity of commutative m-convex $B_0$-algebras with countable maximal ideal spaces
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- Scalar Homomorphisms on Algebras of Infinitely Long Polynomials with an Application to Automatic Continuity Theory
- Functional continuity of unital $B_{0}$-algebras with orthogonal bases
- A Remark Concerning Multiplicative Functionals on Lmc Algebras
- Locally multiplicatively-convex topological algebras
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