## Linear Operators: Spectral theory |

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Page 860

X . A B -

X . 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 ) * = x * + y * , ( wy ) * = y *** ( ax ) * = āx * , ( x * ) * 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 3 is two - sided and the quotient**algebra**X3 is again a commutative**algebra**. It will be a B -**algebra**if I is closed ( 1.13 ) . It is readily seen that every ...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 ( 4 * g ) ( x ) = S ...### 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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