## Linear Operators: General theory |

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**Russian**) Math . Rev. 11 , 670 ( 1950 ) . 8 . On the trace formula in perturbation theory . Mat . Sbornik N. S. 33 ( 75 ) , 597-626 ( 1953 ) . (**Russian**) Math . Rev. 15 , 720 ( 1954 ) . 9 . The theory of self - adjoint extensions of ...Page 781

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**Russian**) Math . Rev. 11 , 116 ( 1950 ) . Amer . Math . Soc . Translation no . 59 ( 1951 ) . 2. Expansions in characteristic functions of differential equations of the second order . Gosudarstv . Izdat . Tehn . - Teor .Page 794

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**Russian**. English summary ) Math . Rev. 2 , 104 ( 1941 ) . 8. Spectral functions of a symmetric operator . Izvestiya Akad . Nauk SSSR ( N. S. ) 4 , 277–318 ( 1940 ) . (**Russian**. English summary ) Math . Rev. 2 , 105 ( 1941 ) .### 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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Akad algebra Amer analytic applied arbitrary assumed B-space Banach Banach spaces bounded called clear closed closure complex condition Consequently contains continuous functions converges Corollary defined DEFINITION denote dense determined differential disjoint element equation equivalent everywhere Exercise exists extension field finite follows formula function f given Hence Hilbert space implies integral interval isomorphism Lebesgue Lemma limit linear functional linear operator linear space linear topological space Math means measure space metric space neighborhood norm open set operator problem Proc projection Proof properties proved range reflexive respect Russian satisfies scalar seen semi-group separable sequence set function Show shown statement subset subspace sufficient Suppose Theorem theory topology u-measurable uniform uniformly unique unit sphere valued vector weak weakly compact zero