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

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Page 1816

On a class of

Nauk SSSR ( N. S. ) 91 , 1023-1026 ( 1953 ) . ( Russian ) Math . Rev. 15 , 881 (

1954 ) . 3 . On the theory of symmetrizable operators with polynomial

dependence ...

On a class of

**linear**equations with symmetrizable operators . Doklady Akad .Nauk SSSR ( N. S. ) 91 , 1023-1026 ( 1953 ) . ( Russian ) Math . Rev. 15 , 881 (

1954 ) . 3 . On the theory of symmetrizable operators with polynomial

dependence ...

Page 1877

J. 18 , 795–798 ( 1951 ) . 2 . An application of Banach

summability . Trans . Amer . Math . Soc . 67 , 59-68 ( 1949 ) . Wilder , C. E. 1 .

Expansion problems of ordinary

conditions at ...

J. 18 , 795–798 ( 1951 ) . 2 . An application of Banach

**linear**functionals tosummability . Trans . Amer . Math . Soc . 67 , 59-68 ( 1949 ) . Wilder , C. E. 1 .

Expansion problems of ordinary

**linear**differential equations with auxiliaryconditions at ...

Page 1912

( See also Functional )

operator , ( 36 ) . ( See also Bspace )

See also Bspace ) topological , II.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 Bspace ) topological , II.1.1 ( 49 )

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

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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