## Linear operators. 2. Spectral theory : self adjoint operators in Hilbert Space |

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Results 1-3 of 81

Page 1913

6 ( 416 ) Mean ergodic theorem , ( 728 – 729 ) continuous case in B - space , VIII .

7 . 1 - 3 ( 687 - 689 ) ... 11 - 12 ( 106 ) space of ( totally ) , criterion for

completeness , III . 6 . 5 ( 146 ) ... 15 ( 379 ) as a topological

7 ( 169 ) , III ...

6 ( 416 ) Mean ergodic theorem , ( 728 – 729 ) continuous case in B - space , VIII .

7 . 1 - 3 ( 687 - 689 ) ... 11 - 12 ( 106 ) space of ( totally ) , criterion for

completeness , III . 6 . 5 ( 146 ) ... 15 ( 379 ) as a topological

**linear space**, II1 . 9 .7 ( 169 ) , III ...

Page 1914

Metrization , of a measure space , III . 7 . 1 ( 158 ) ... ( See also Functional )

Multiplicity of eigenvalues , X . 4 ( 907 ) in special spaces , IV . 2 topology , II ... 2

– 4 ( 15 - 17 ) regular space with countable base , ( 24 ) Normed ( normed

Metrization , of a measure space , III . 7 . 1 ( 158 ) ... ( See also Functional )

Multiplicity of eigenvalues , X . 4 ( 907 ) in special spaces , IV . 2 topology , II ... 2

– 4 ( 15 - 17 ) regular space with countable base , ( 24 ) Normed ( normed

**linear****space**) .Page 1921

space , definition , ( 398 ) theorems on representation of Boolean rings and

algebras , 1 . 12 . 1 ( 41 ) , ( 44 ) ... 17 ( 274 ) remarks on , ( 383 – 385 ) Strictly

convex B - space , definition , VII . 7 ( 458 ) ... 8 ( 11 ) Subspace , of a

, ( 36 ) .

space , definition , ( 398 ) theorems on representation of Boolean rings and

algebras , 1 . 12 . 1 ( 41 ) , ( 44 ) ... 17 ( 274 ) remarks on , ( 383 – 385 ) Strictly

convex B - space , definition , VII . 7 ( 458 ) ... 8 ( 11 ) Subspace , of a

**linear space**, ( 36 ) .

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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