## Linear Operators: Spectral theory |

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Page 942

Thus every eigenfunction of T , which

finite dimensional continuous function . Hence N is orthogonal to every

eigenfunction of T , except to those

Theorem X . 3 .

Thus every eigenfunction of T , which

**corresponds**to a non - zero eigenvalue is afinite dimensional continuous function . Hence N is orthogonal to every

eigenfunction of T , except to those

**corresponding**to a = 0 . It follows fromTheorem X . 3 .

Page 1729

It should be evident from this last formula that much as in the

of the space C ( C ) , we may regard any point x = { x1 , y ] for which 0 < x < 29 as

belonging , in a suitable sense , to the interior of C ; that is , to argue at such a ...

It should be evident from this last formula that much as in the

**corresponding**caseof the space C ( C ) , we may regard any point x = { x1 , y ] for which 0 < x < 29 as

belonging , in a suitable sense , to the interior of C ; that is , to argue at such a ...

Page 1780

An equivalence class U of vectors ug will be said to

equivalence class V of vectors up if there is a pair ... Suppose that U and V are

element vg in the ...

An equivalence class U of vectors ug will be said to

**correspond**to anequivalence class V of vectors up if there is a pair ... Suppose that U and V are

**corresponding**equivalence classes and that ug € U . Consider an arbitraryelement vg in the ...

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### Contents

IX | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Compact Groups | 945 |

Copyright | |

46 other sections not shown

### Other editions - View all

Linear Operators, Part 1 Nelson Dunford,Jacob T. Schwartz,William G. Bade,Robert G. Bartle Snippet view - 1958 |

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