## Linear Operators: Self Adjoint Operators in Hilbert Space. Spectral theory. Part II |

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Page 1803

Solid analytical geometry and determinants . H. Holt Co. , New York , 1980 .

Dubrovskis ( Doubrovsky ) , V. M. 1. On some

set functions and their application to generalization of a theorem of Lebesgue .

Mat .

Solid analytical geometry and determinants . H. Holt Co. , New York , 1980 .

Dubrovskis ( Doubrovsky ) , V. M. 1. On some

**properties**of completely additiveset functions and their application to generalization of a theorem of Lebesgue .

Mat .

Page 1900

Almost periodic functions , definition , IV.2.25 ( 242 ) space of , additional

387 ) study of , IV.7 Almost uniform ( or u - uniform convergence ) definition , III .

6.1 ( 145 ) ...

Almost periodic functions , definition , IV.2.25 ( 242 ) space of , additional

**properties**, IV.15 ( 379 ) definition , IV.2.25 ( 242 ) remarks concerning , ( 386–387 ) study of , IV.7 Almost uniform ( or u - uniform convergence ) definition , III .

6.1 ( 145 ) ...

Page 1902

Category theorem , of Baire , 1.6.9 ( 20 ) Cauchy integral formula , ( 227 ) for

functions of an operator , in a finite dimensional space , VII.1.10 ( 560 ) in general

space ...

**properties**, I.3.12–14 ( 9 ) Cartesian product of topological spaces , I.8 ( 31 )Category theorem , of Baire , 1.6.9 ( 20 ) Cauchy integral formula , ( 227 ) for

functions of an operator , in a finite dimensional space , VII.1.10 ( 560 ) in general

space ...

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### Contents

SPECTRAL THEORY Self Adjoint Operators in Hilbert Space | 858 |

BAlgebras | 859 |

Preliminary Notions | 865 |

Copyright | |

61 other sections not shown

### Common terms and phrases

additive Akad algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function function f given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity Nauk neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero