## Linear Operators, Part 1 |

### From inside the book

Results 1-3 of 70

Page 743

Symmetric

Cameron , R. H. 1. A “ Simpson's Rule ” for the numerical evaluation of Wiener's

integrals in function space . Duke Math . J. 18 , 111-130 ( 1951 ) . 2. The first ...

Symmetric

**transformations**in Hilbert space . Duke J. Math . 7 , 504-508 ( 1940 ) .Cameron , R. H. 1. A “ Simpson's Rule ” for the numerical evaluation of Wiener's

integrals in function space . Duke Math . J. 18 , 111-130 ( 1951 ) . 2. The first ...

Page 761

Measurable

. Measure Theory . D. Van Nostrand , New York , 1950 . Introduction to Hilbert

space and the theory of spectral multiplicity . Chelsea , New York , 1951 . 7 .

Measurable

**transformations**. Bull . Amer . Math . Soc . 55 , 1015-1034 ( 1949 ) . 5. Measure Theory . D. Van Nostrand , New York , 1950 . Introduction to Hilbert

space and the theory of spectral multiplicity . Chelsea , New York , 1951 . 7 .

Page 783

Bicontinuous linear

Soc . 45 , 564-569 ( 1939 ) . 2 . On a calculus of operators in reflexive vector

spaces . Trans . Amer . Math . Soc . 45 , 217–234 ( 1939 ) . 3 . The Cauchy -

Schwarz ...

Bicontinuous linear

**transformations**in certain vector spaces . Bull . Amer . Math .Soc . 45 , 564-569 ( 1939 ) . 2 . On a calculus of operators in reflexive vector

spaces . Trans . Amer . Math . Soc . 45 , 217–234 ( 1939 ) . 3 . The Cauchy -

Schwarz ...

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

80 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 |

### Common terms and phrases

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