## Linear Operators: Spectral theory |

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Page 1902

... ( 279 ) Cesaro summability , of Fourier series , IV.14.44 ( 363 ) of series , II.4.37 ( 75 ) Change of variables , for functions , III.13.4-5 ( 222-223 ) for measures , III.10.8 ( 182 ) Character ,

... ( 279 ) Cesaro summability , of Fourier series , IV.14.44 ( 363 ) of series , II.4.37 ( 75 ) Change of variables , for functions , III.13.4-5 ( 222-223 ) for measures , III.10.8 ( 182 ) Character ,

**definition**...Page 1907

Essentially bounded ,

Essentially bounded ,

**definition**, II1.1.11 ( 100-101 ) E- , X.2 ( 899 ) Essentially separably valued ,**definition**, III.1.11 ( 100-101 ) Euclidean space ,**definition**, IV.2.1 ( 238 ) further properties , IV.15 ( 374 ) study of , IV.3 ...Page 1921

on space ,

on space ,

**definition**, ( 398 ) theorems representation of Boolean rings and algebras , 1.12.1 ( 41 ) , ( 44 ) -Weierstrass theorem , IV.6.16 ( 272 ) complex case , IV.6.17 ( 274 ) remarks on , ( 383–385 ) Strictly convex B - space ...### 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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### Common terms and phrases

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