## Linear Operators: General theory |

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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 736

On a method of solution of the

On a method of solution of the

**equation**of heat conduction . Doklady Akad . Nauk SSSR ( N. S. ) 72 , 667–670 ( 1950 ) . ( Russian ) Math . Rev.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 .### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

The VitaliHahnSaks Theorem and Spaces of Measures | 7 |

B Topological Preliminaries | 10 |

Copyright | |

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### Common terms and phrases

Akad algebra Amer analytic applied arbitrary assumed B-space Banach Banach spaces bounded called clear closed complex Consequently contains converges convex Corollary defined DEFINITION denote dense determined differential dimensional disjoint domain element equation equivalent everywhere Exercise exists extension field finite follows function defined function f given Hence Hilbert space identity implies inequality integral interval isomorphism Lebesgue Lemma limit linear functional linear operator linear space Math measure space metric space neighborhood norm open set positive measure problem projection Proof properties proved range reflexive representation respect Russian satisfies scalar seen separable sequence set function Show shown sphere statement subset Suppose Theorem theory topological space topology u-measurable uniform uniformly unique unit valued vector weak weakly compact zero