## Linear Operators: Self Adjoint Operators in Hilbert Space. Spectral theory. Part II |

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Page 1845

On the axiom of the nonconvergent sequences in some

Revista Unión Mat . Argentina 12 , 129–150 ( 1947 ) . ( Spanish French summary

) . 2 . A characterization of the normed vector ordered spaces of continuous ...

On the axiom of the nonconvergent sequences in some

**linear**topological space .Revista Unión Mat . Argentina 12 , 129–150 ( 1947 ) . ( Spanish French summary

) . 2 . A characterization of the normed vector ordered spaces of continuous ...

Page 1877

2. An application of Banach

. Soc . 67 , 59-68 ( 1949 ) . Wilder , C. E. 1. Expansion problems of ordinary

differential equations with auxiliary conditions at more than two ...

2. An application of Banach

**linear**functionals to summability . Trans . Amer . Math. Soc . 67 , 59-68 ( 1949 ) . Wilder , C. E. 1. Expansion problems of ordinary

**linear**differential equations with auxiliary conditions at more than two ...

Page 1912

( See also Functional )

operator , ( 36 ) . ( See also Bspace )

See also B. space ) topological , 11.1.1 ( 49 )

also ...

( See also Functional )

**Linear**manifold , ( 36 ) . ( See also Manifold )**Linear**operator , ( 36 ) . ( See also Bspace )

**Linear**space , 1.11 normed , II.3.1 ( 59 ) . (See also B. space ) topological , 11.1.1 ( 49 )

**Linear**transformation , ( 36 ) . ( Seealso ...

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### Contents

SPECTRAL THEORY Self Adjoint Operators in Hilbert Space | 858 |

BAlgebras | 859 |

Preliminary Notions | 865 |

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 Nauk 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