## 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 - uniform convergence ) ...Page 1902

( C C C

( C C C

**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 ...Page 1922

definition , III.6.1 ( 145 ) Uniform convexity , definition , II.4.27 ( 74 )

definition , III.6.1 ( 145 ) Uniform convexity , definition , II.4.27 ( 74 )

**properties**, II.4.28-29 ( 74 ) remarks on , ( 471-474 ) Uniform countable additivity . ( See Countably additive ) Uniform ergodic theory , VIII.8 remarks on ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Miscellaneous Applications | 937 |

Compact Groups | 945 |

Copyright | |

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additive adjoint operator 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 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