## Linear Operators, Volume 2 |

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Page 868

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

If 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 3 is not maximal it is properly contained in an ...Page 872

**complex**variable that { Pņ ( 2 ) } also converges uniformly on G. For each 1 in G and each x in X define x ( a ) = lim P ( 2 ) where { P , } is a sequence of polynomials with P , ( z ) - x + 0. The number x ( ) is clearly independent of ...Page 1157

k = 1 Then a

k = 1 Then a

**complex**number t of modulus 1 is outside o ( d ) if and only if there erists a function g which is analytic in a neighborhood of t and is such that g ( z ) = | ( 2 ) for all z in this neighborhood for which [ 2 ] # 1 .### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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