## Linear operators. 2. Spectral theory : self adjoint operators in Hilbert Space |

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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.3.4 ...

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.3.4 ...

Page 1729

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

of the space 07 ( C ) , we may regard any point [ x1 , y ] for which 0 < x < 27 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 07 ( C ) , we may regard any point [ x1 , y ] for which 0 < x < 27 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 u , will be said to

equivalence class V of vectors vp if there is a pair of vectors , one from U and one

from V ... Suppose that U and V are

u , EU .

An equivalence class U of vectors u , will be said to

**correspond**to anequivalence class V of vectors vp if there is a pair of vectors , one from U and one

from V ... Suppose that U and V are

**corresponding**equivalence classes and thatu , EU .

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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