Topological algebra

In mathematics, a topological algebra A over a topological field K is a topological vector space together with a continuous multiplication

that makes it an algebra over K. A unital associative topological algebra is a topological ring. An example of a topological algebra is the algebra C[0,1] of continuous real-valued functions on the closed unit interval [0,1], or more generally any Banach algebra.

单词	Topological algebra
释义	Topological algebra 英语百科 Topological algebra In mathematics, a topological algebra A over a topological field K is a topological vector space together with a continuous multiplication that makes it an algebra over K. A unital associative topological algebra is a topological ring. An example of a topological algebra is the algebra C[0,1] of continuous real-valued functions on the closed unit interval [0,1], or more generally any Banach algebra.
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