## Linear Operators: Spectral theory |

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Page 868

1 / I is a closed ideal in the commutative B - algebra X then the quotient algebra X / 3 is isometrically isomorphic to the field of

1 / I is a closed ideal in the commutative B - algebra X then the quotient algebra X / 3 is isometrically isomorphic to the field of

**complex**numbers if and only if I is maximal . Proof . If I is not maximal it is properly contained in ...Page 872

**complex**variable that { P , ( 2 ) } also converges uniformly on G. For each 2 in G and each x in X define x ( 2 ) = lim Pn ( 2 ) where { Pn } is a sequence of polynomials with P , ( z ) — x | 0. The number r ( a ) is clearly independent ...Page 887

... theorem to be proved in this chapter will introduce a theory which parallels in Hilbert space the theory in n - dimensional unitary space associated with the classical reduction of a finite normal matrix of

... theorem to be proved in this chapter will introduce a theory which parallels in Hilbert space the theory in n - dimensional unitary space associated with the classical reduction of a finite normal matrix of

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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