## Linear Operators: General theory |

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Page 564

Find the most general solution of the differential

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 theory of systems of n linear homogeneous differential**equations**, dy ( t ) dt = A ...Page 762

On a class of linear

On a class of linear

**equations**with symmetrizable operators . ... The Ly - solutions of linear differential**equations**of second order . Duke Math . ... On the linear logarithmico - exponential differential**equation**of the second order .Page 779

On the connection formulas and the solutions of the wave

On the connection formulas and the solutions of the wave

**equation**. Phys . Rev. 51 , 669-676 ( 1937 ) . 2 . On the wave**equation**with small quantum numbers . Phys . Rev. 75 , 1573–1578 ( 1949 ) . 3 . The expansion problem in the theory ...### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

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### Common terms and phrases

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