## Linear Operators: General theory |

### From inside the book

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Page 237

Each of these spaces is studied in an attempt to solve the eight

below . The results of these studies are presented in tabular form in Section 14 . 1

Each of these spaces is studied in an attempt to solve the eight

**problems**listedbelow . The results of these studies are presented in tabular form in Section 14 . 1

**Problem**. What is an analytical representation of the conjugate space X * of the ...Page 756

Dirichlet's

equations with constant coefficients . Proc . Symposium Spectral Theory and

Differential

...

Dirichlet's

**problem**and the vibration**problem**for linear elliptic partial differentialequations with constant coefficients . Proc . Symposium Spectral Theory and

Differential

**Problems**, 291-301 . Oklahoma Agricultural and Mechanical College...

Page 766

On the moment

270 ( 1932 ) . 9. Convergence of sequences of linear operations . Bull . Amer .

Math . Soc . 28 , 53–58 ( 1922 ) . Hildebrandt , T. H. , and Graves , L. M. 1. Implicit

...

On the moment

**problem**for a finite interval . Bull . Amer . Math . Soc . 38 , 269–270 ( 1932 ) . 9. Convergence of sequences of linear operations . Bull . Amer .

Math . Soc . 28 , 53–58 ( 1922 ) . Hildebrandt , T. H. , and Graves , L. M. 1. Implicit

...

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### Contents

B Topological Preliminaries | 10 |

quences | 26 |

Algebraic Preliminaries | 34 |

Copyright | |

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### Common terms and phrases

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