## Linear Operators: General theory |

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Page 237

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

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

**problems**listed below . ... of the conjugate space X * of the given space X ?**Problem**.Page 756

Dirichlet's

Dirichlet's

**problem**for linear elliptic partial differential equations . Math . Scand . ... Symposium Spectral Theory and Differential**Problems**, 291-301 .Page 766

On the moment

On the moment

**problem**for a finite interval . Bull . Amer . Math . Soc . 38 , 269–270 ( 1932 ) . 9. Convergence of sequences of linear operations . Bull .### What people are saying - Write a review

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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