## Linear Operators: General theory |

### From inside the book

Results 1-3 of 7

Page 782

An introduction to abstract harmonic analysis . D . van Nostrand Co . , New York ,

1953 . 2 . Linear functionals and content . Amer . J . Math . 76 , 168 - 182 ( 1954 )

. 3 . Abstract congruence and the uniqueness of

An introduction to abstract harmonic analysis . D . van Nostrand Co . , New York ,

1953 . 2 . Linear functionals and content . Amer . J . Math . 76 , 168 - 182 ( 1954 )

. 3 . Abstract congruence and the uniqueness of

**Haar measure**. Ann . of Math .Page 800

Harmonic analysis on commutative groups with the

of characters . Trav . Inst . Math . Steklov 14 , 5 - 86 ( 1945 ) . ( Russian ) Math .

Rev . 8 , 133 ( 1947 ) . [ German translation in “ Sowjetische Arbeiten zur ...

Harmonic analysis on commutative groups with the

**Haar measure**and the theoryof characters . Trav . Inst . Math . Steklov 14 , 5 - 86 ( 1945 ) . ( Russian ) Math .

Rev . 8 , 133 ( 1947 ) . [ German translation in “ Sowjetische Arbeiten zur ...

Page 846

... between linear spaces , ( 38 )

3 ( 460 ) Hadamard three circles theorem , VI . 11 . 48 ( 538 ) Hahn - Banach

theorem , II . 3 . 10 ( 62 ) discussion of , ( 85 – 88 ) Hahn decomposition theorem ,

III .

... between linear spaces , ( 38 )

**Haar measure**on a compact group , V . 11 . 22 -3 ( 460 ) Hadamard three circles theorem , VI . 11 . 48 ( 538 ) Hahn - Banach

theorem , II . 3 . 10 ( 62 ) discussion of , ( 85 – 88 ) Hahn decomposition theorem ,

III .

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

31 other sections not shown

### Other editions - View all

### Common terms and phrases

algebra Amer analytic applied arbitrary assumed B-space Banach spaces bounded called clear closed compact operator complex condition Consequently constant contains continuous functions converges convex convex set Corollary countably additive defined DEFINITION denote dense determined differential dimensional disjoint domain element equation equivalent everywhere Exercise exists extension field finite follows formula function defined function f given Hence Hilbert space identity implies inequality integral interval Lebesgue Lemma limit linear functional linear operator linear space Math neighborhood norm operator operator topology problem projection PROOF properties proved range reflexive representation respect satisfies scalar seen semi-group separable sequence set function Show shown statement subset subspace sufficient Suppose Theorem theory topology u-measurable uniform uniformly unique unit sphere valued vector weak weakly compact zero