## Linear Operators: Spectral theory |

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Page 1832

Sbornik N . S . 13 ( 55 ) , 1 - 37 ( 1943 ) . Krein , M . , and Milman , D . 1 . On

extreme points of regularly convex sets . Studia Math . 9 , 133 – 138 ( 1940 ) .

Krein , M . , Milman , D . , and Rutman , M . 1 . A note on basis in

Comm .

Sbornik N . S . 13 ( 55 ) , 1 - 37 ( 1943 ) . Krein , M . , and Milman , D . 1 . On

extreme points of regularly convex sets . Studia Math . 9 , 133 – 138 ( 1940 ) .

Krein , M . , Milman , D . , and Rutman , M . 1 . A note on basis in

**Banach space**.Comm .

Page 1871

16 . Eigenfunction expansions associated with second - order differential

equations . Oxford Univ . Press , London , 1946 . Titov , N . S . 1 . On different

kinds of convergence of elements and linear operators in

Doklady Akad .

16 . Eigenfunction expansions associated with second - order differential

equations . Oxford Univ . Press , London , 1946 . Titov , N . S . 1 . On different

kinds of convergence of elements and linear operators in

**Banach spaces**.Doklady Akad .

Page 1900

( See also Algebra ) B - space ( or

definition , II . 3 . 2 . ( 59 ) integration , Chap . III special B - spaces , Chap . IV

properties , IV . 15 Baire category theorem , 1 . 6 . 9 ( 20 ) Banach limits ,

existence ...

( See also Algebra ) B - space ( or

**Banach space**) , basic properties of , Chap . IIdefinition , II . 3 . 2 . ( 59 ) integration , Chap . III special B - spaces , Chap . IV

properties , IV . 15 Baire category theorem , 1 . 6 . 9 ( 20 ) Banach limits ,

existence ...

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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### 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 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