## Linear Operators: Spectral theory |

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Page 860

A B -

A B -

**algebra**X is commutative in case xy = yx for all x and y in X. An involution in a B -**algebra**X is a mapping x + x * of X into itself with the properties ( x + y ) * = ** + y * , ( xy ) * = y * r * ( oux ) * ax * , ( w * ) * All ...Page 868

Commutative B - Algebras In case X is a commutative B -

Commutative B - Algebras In case X is a commutative B -

**algebra**every ideal I is two - sided and the quotient**algebra**X / I is again a commutative**algebra**. It will be a B -**algebra**if I is closed ( 1.13 ) .Page 979

One of these algebras , namely the

One of these algebras , namely the

**algebra**A of the preceding section , we have met before . For convenience , its definition and some of its properties will be restated here . For every f in L ( R ) the convolution ( 4 * g ) ( x ) ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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