## Linear Operators: General theory |

### From inside the book

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Page 564

19 Find the most general solution of the differential

19 Find the most general solution of the differential

**equation**y ' = Ty ... of n linear homogeneous differential**equations**, dy ( t ) / dt = A ( t ) y .Page 762

On a class of linear

On a class of linear

**equations**in Hilbert spaces . ... On the linear logarithmico - exponential differential**equation**of the second order . Amer . J. Math .Page 763

On the essential spectra of ordinary differential

On the essential spectra of ordinary differential

**equations**. Amer . J. Math . ... Criteria for the non - degeneracy of the wave**equation**. Amer . J. Math .### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

quences | 26 |

Copyright | |

81 other sections not shown

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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