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On the Gel’fand Theory for Topological Algebras

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Abstract

We present conditions under which the Gel’fand transform \(E^{\wedge },\) of locally m-convex algebra E, is a dense subalgebra of \( \mathcal {C}_{c}(\mathfrak M(E))\). The partition of unity and the local theorem are given for a commutative unital locally m-convex algebra.

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Correspondence to Ali Oukhouya.

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Communicated by Mohammad Reza Koushesh.

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Oukhouya, A. On the Gel’fand Theory for Topological Algebras. Bull. Iran. Math. Soc. 50, 26 (2024). https://doi.org/10.1007/s41980-023-00854-9

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  • DOI: https://doi.org/10.1007/s41980-023-00854-9

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