## Linear Operators: General theory |

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19 Find the most general solution of the

19 Find the most general solution of the

**differential**equation y ' = Ty where T is the matrix of Exercise 5 . The next ten exercises refer to the stability ...Page 762

The Ly - solutions of linear

The Ly - solutions of linear

**differential**equations of second order . Duke Math . J. 14 , 323–326 ( 1947 ) . 4. Unrestricted solution fields of almost ...Page 763

On the essential spectra of ordinary

On the essential spectra of ordinary

**differential**equations . Amer . J. Math . 76 , 831-838 ( 1954 ) . Hartman , P. , and Putnam , C. 1 .### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

quences | 26 |

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