## Linear Operators: Spectral theory |

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Page 868

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

I / I is a closed ideal in the commutative B - algebra X then the quotient algebra X / I 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

n a

n a

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

**complex**numbers .### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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