## Linear Operators: Part III: Spectral Operators [by] Nelson Dunford and Jacob T. Schwartz, with the Assistance of William G. Bade and Robert G. Bartle, Volume 1 |

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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 2403

We then use this inequality to

artificial setting , essentially to multiplication ... A first

made in this way , and immediately following upon this we develop a similar but ...

We then use this inequality to

**apply**Theorem 1 in an illustrative but somewhatartificial setting , essentially to multiplication ... A first

**application**( Theorem 6 ) ismade in this way , and immediately following upon this we develop a similar but ...

Page 2418

We may now

present theorem follows immediately . Q.E.D. As the reader must surely suspect ,

Theorems 1 and 8 can also be applied if we let T be the operator f ( s ) → sf ( s )

in the ...

We may now

**apply**Theorem 8 and Corollary 9 , and the conclusion of thepresent theorem follows immediately . Q.E.D. As the reader must surely suspect ,

Theorems 1 and 8 can also be applied if we let T be the operator f ( s ) → sf ( s )

in the ...

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### Contents

SPECTRAL OPERATORS | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

28 other sections not shown

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