## 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 + 3 * of X into itself with the properties ( x + y ) * = x * + y * , ( ax ) * = ax * , ( xy ) * = y * r * ( ** ) * = X ...Page 875

The

The

**algebra**B ( ö ) of all bounded linear operators in Hilbert space H in which the operation * of involution is defined by equation ( i ) is a B * -**algebra**. Our chief objective in this section is to characterize commutative B ...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 | in Ly ( R ) the convolution ( * * g ) ( x ) ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Miscellaneous Applications | 937 |

Compact Groups | 945 |

Copyright | |

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