## Linear Operators: Spectral Theory : Self Adjoint Operators in Hilbert Space, Volume 2 |

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Results 1-3 of 62

Page 1915

... and other contemporary problems of mathematical physics to which the results

of Chapter XX

Theorem XVI.5.19 , its unbounded counterpart found in Theorem XVIII.2.34 , and

then ...

... and other contemporary problems of mathematical physics to which the results

of Chapter XX

**apply**, has a direct short path to these problems ; namely ,Theorem XVI.5.19 , its unbounded counterpart found in Theorem XVIII.2.34 , and

then ...

Page 2409

We may therefore

small , then the operator T and the operator T + q ( A ) are similar . Since T is

obviously a spectral operator of scalar type , T + 2 ( A ) must also be a spectral ...

We may therefore

**apply**Theorem 1 , to find that if A € A , and if || A || is sufficientlysmall , then the operator T and the operator T + q ( A ) are similar . Since T is

obviously a spectral operator of scalar type , T + 2 ( A ) must also be a spectral ...

Page 2434

Q.E.D. By using appropriate “ diagonalizing " transformations ( cf. Theorem XII.

3.16 ) , we may

following ...

**Applying**Theorem 8 and Corollary 9 , the present theorem follows at once .Q.E.D. By using appropriate “ diagonalizing " transformations ( cf. Theorem XII.

3.16 ) , we may

**apply**Theorem 21 to analyze a variety of operators . Thefollowing ...

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### Contents

SPECTRAL OPERATORS | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

47 other sections not shown

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