A Note on a Theorem Of

  title={A Note on a Theorem Of},
  author={K G Heider},
Theorem. A commutative B*-algebra K containing an identity e (with \\k*-k\\ =\\k\\2for all &GP and ||e|| =1) is isomorphic (in a norm and * preserving manner) to an algebra B(X) of all bounded complexvalued functions on an essentially unique set X if and only if: (1) Every nonzero closed ideal of K contains a minimal ideal; (2) The sum of two annulets is an annulet. An annulet is here understood to be an ideal I of K with which is associated a subset GCP such that 

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On the embedding of normed rings into the ring of operators in Hilbert space

  • I. Gelfand, M. Neumark
  • Rec. Math. (Mat. Sbornik) N. S. vol
  • 1943

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