## Linear Operators: Spectral theory |

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Page 1900

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

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 ) ...Page 1902

**properties**, I.3.12–14 ( 9 ) Cartesian product of topological spaces , 1.8 ( 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 ) ...Page 1908

group , definition , XI.1.3 ( 940 ) Finite dimensional spaces , additional

group , definition , XI.1.3 ( 940 ) Finite dimensional spaces , additional

**properties**, IV.15 ( 374 ) ... IV.3 Finite intersection**property**, as criterion for compactness I.5.6 ( 17 ) definition , 1.5.5 ( 17 ) Finite measure ( space ) ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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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 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 Russian satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero