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单词 GelfandNaimarkRepresentationTheorem
释义

Gelfand-Naimark representation theorem


The Gelfand-Naimark representation theorem is as follows:

Theorem 1.1

Every C*-algebra is isometrically isomorphic to a norm closed *-subalgebra Bnc(H) of an algebra B(H) of bounded operatorsMathworldPlanetmathPlanetmath on some Hilbert spaceMathworldPlanetmath H. In particular, every finite dimensional C*-algebra is isomorphic to a direct sum of matrix algebras.

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更新时间:2025/5/4 8:54:15