## Linear operators: Spectral operators |

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Page 2341

We wish to show, using formula (58), that the family of all sums me J J ranging

over all finite sets of integers, is

argument using Lemma 7, which is similar to the corresponding argument used

in ...

We wish to show, using formula (58), that the family of all sums me J J ranging

over all finite sets of integers, is

**uniformly bounded**. This follows from (58) by anargument using Lemma 7, which is similar to the corresponding argument used

in ...

Page 2347

Spectral operators Nelson Dunford, Jacob T. Schwartz. it suffices to show that the

family (iii) £ w-*tf(A,), p-ZK, m = K of maps of L2(0, 1) into H<k)(0, 1) is

Spectral operators Nelson Dunford, Jacob T. Schwartz. it suffices to show that the

family (iii) £ w-*tf(A,), p-ZK, m = K of maps of L2(0, 1) into H<k)(0, 1) is

**uniformly****bounded**. An equivalent norm in Hm(Q, 1) is ...Page 2361

Let Vt be a sequence of bounded domains covering the whole complex plane,

and suppose that lim,. ... By Lemma 3, |((T+P)*_A/)-i|=|(T+P-A/)-1| for such A.

Thus, F*[X) is

...

Let Vt be a sequence of bounded domains covering the whole complex plane,

and suppose that lim,. ... By Lemma 3, |((T+P)*_A/)-i|=|(T+P-A/)-1| for such A.

Thus, F*[X) is

**uniformly bounded**for A in (J,TM N V{ , and hence, by the maximum...

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### Contents

SPECTRAL OPERATORS | 1924 |

Spectral Operators | 1925 |

Terminology and Preliminary Notions | 1928 |

Copyright | |

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