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单词 Banach Algebra
释义

Banach Algebra

A Banach algebra is an Algebra over a Field endowed with a Norm such that is aBanach Space under the norm and multiplication is continuous in the sense that if then. Continuity of multiplication is the most important property.


is frequently taken to be the ComplexNumbers in order to assure that the Spectrum fully characterizes anOperator (i.e., the spectral theorems for normal or compact normal operators do not, in general, hold in theSpectrum over the Real Numbers).

See also B*-Algebra
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更新时间:2024/11/15 7:59:26