## Linear Operators: Spectral theory |

### From inside the book

Results 1-3 of 89

Page 1379

{3,3 is the matrix measure of

determined for eache C. N. Since A is the union of a sequence of neighborhoods

of the same type as N, the uniqueness of {6,3 follows immediately. Q.E.D. 27

{3,3 is the matrix measure of

**Theorem**28, the values 6,(e) are uniquelydetermined for eache C. N. Since A is the union of a sequence of neighborhoods

of the same type as N, the uniqueness of {6,3 follows immediately. Q.E.D. 27

**THEOREM**.Page 1591

The defining property used by them coincides with the property we have given in

extensive use of Definition 1, has also been used by Snol [1] and Naimark [5].

The defining property used by them coincides with the property we have given in

**Theorem**4. The development followed in this section and the next, which makesextensive use of Definition 1, has also been used by Snol [1] and Naimark [5].

Page 1904

(See also Ergodic

5.32 (584) by inverting sequences, VIII.2.13 (650) study of, VII.7 for kernels, III.

12.10–12 (219–222) Lebesgue dominated convergence

(See also Ergodic

**theorems**) in general spaces, VII.3.13 (571), VII.3.23 (576), VII.5.32 (584) by inverting sequences, VIII.2.13 (650) study of, VII.7 for kernels, III.

12.10–12 (219–222) Lebesgue dominated convergence

**theorem**, III.3.7 (124), III.### What people are saying - Write a review

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### Contents

SPECTRAL THEORY | 858 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

34 other sections not shown

### Other editions - View all

Linear Operators, Part 1 Nelson Dunford,Jacob T. Schwartz,William G. Bade,Robert G. Bartle Snippet view - 1958 |

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