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

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Page 1841

Characteristics of extremal points of regularly

SSSR ( N. S. ) 57 , 119–122 ( 1947 ) . ( Russian ) Math . Rev. 9 , 192 ( 1948 ) . 3 .

Accessible points of a functional compact set . Doklady Akad . Nauk SSSR ...

Characteristics of extremal points of regularly

**convex**sets . Doklady Akad . NaukSSSR ( N. S. ) 57 , 119–122 ( 1947 ) . ( Russian ) Math . Rev. 9 , 192 ( 1948 ) . 3 .

Accessible points of a functional compact set . Doklady Akad . Nauk SSSR ...

Page 1904

... III.7.2-4 ( 158-160 ) Weierstrass theorem on analytic functions , ( 228 )

combination , V.2.2 ( 414 ) . ( See also Conver hull , Conver set ,

... III.7.2-4 ( 158-160 ) Weierstrass theorem on analytic functions , ( 228 )

**Convex**combination , V.2.2 ( 414 ) . ( See also Conver hull , Conver set ,

**Convex**space )**Convex**function , definition , VI.10.1 ( 520 ) study of , VI.10**Convex**hull , V.2.2 ...Page 1912

of X * in the bounded X topology , V.5.5 ( 428 ) separation of

2.1013 ( 417-418 ) Lower bound for an operator , XII.5.1 ( 1240 ) M inferior ( or

superior ) , of a set or sequence of real numbers , ( 4 ) of a sequence of sets , III.

4.3 ...

of X * in the bounded X topology , V.5.5 ( 428 ) separation of

**convex**sets in , V.2.1013 ( 417-418 ) Lower bound for an operator , XII.5.1 ( 1240 ) M inferior ( or

superior ) , of a set or sequence of real numbers , ( 4 ) of a sequence of sets , III.

4.3 ...

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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