## Linear Operators: General theory |

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Page 737

Integration of functions with values in a Banach space . Trans . Amer . Math . Soc

. 38 , 357–378 ( 1935 ) . 5 . A note on ...

of ordinary linear. 625-627 ( 1939 ) . Birkhoff , G. , and MacLane , S. 1 . A survey ...

Integration of functions with values in a Banach space . Trans . Amer . Math . Soc

. 38 , 357–378 ( 1935 ) . 5 . A note on ...

**Boundary value**and erpansion problemsof ordinary linear. 625-627 ( 1939 ) . Birkhoff , G. , and MacLane , S. 1 . A survey ...

Page 763

16. On the essential spectra of ordinary differential equations . Amer . J. Math . 76

, 831-838 ( 1954 ) . Hartman , P. , and Putnam , C. 1 . The least cluster point of the

spectrum of

16. On the essential spectra of ordinary differential equations . Amer . J. Math . 76

, 831-838 ( 1954 ) . Hartman , P. , and Putnam , C. 1 . The least cluster point of the

spectrum of

**boundary value**problems . Amer . J. Math . 70 , 847–855 ( 1948 ) .Page 777

On a one - dimensional singular

interval ( 0,0 ) . Doklady Akad . ... On certain problems on the maximum and

minimum of characteristic values and on the Lyapunov zones of stability . Akad .

On a one - dimensional singular

**boundary value**problem of even order in theinterval ( 0,0 ) . Doklady Akad . ... On certain problems on the maximum and

minimum of characteristic values and on the Lyapunov zones of stability . Akad .

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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