## Linear Operators: Spectral operators |

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Page 2400

Friedrichs ' Method of

discussion of an elegant method , due to K. 0. Friedrichs , which makes it

possible to show , in a variety of cases , that an operator is spectral , and even

much ...

Friedrichs ' Method of

**Similar**Operators In the present section we shall begin ourdiscussion of an elegant method , due to K. 0. Friedrichs , which makes it

possible to show , in a variety of cases , that an operator is spectral , and even

much ...

Page 2413

... exists a positive constant ε depending only on P , D , and c , such that the

operators T and T + ( A ) are

its corollaries are readily generalized to apply to unbounded operators . 8

THEOREM .

... exists a positive constant ε depending only on P , D , and c , such that the

operators T and T + ( A ) are

**similar**whenever || A || < € . Q.E.D. Theorem 1 andits corollaries are readily generalized to apply to unbounded operators . 8

THEOREM .

Page 2447

... been proved , to the mapping ( 1 / c ) ] , GJ , we find that ( 1/0 ) / - 1G ] is

to J , so that G is

Spectrum The XX.2.24 2447 FRIEDRICHS ' METHOD OF

.

... been proved , to the mapping ( 1 / c ) ] , GJ , we find that ( 1/0 ) / - 1G ] is

**similar**to J , so that G is

**similar**to J. Q.E.D. 3. The Friedrichs ' Method for the DiscreteSpectrum The XX.2.24 2447 FRIEDRICHS ' METHOD OF

**SIMILAR**OPERATORS.

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### Contents

SPECTRAL OPERATORS 1937 1941 1945 XV Spectral Operators | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

32 other sections not shown

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