## Linear Operators: Spectral theory |

### From inside the book

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differential operators . Dissertation , Univ . of California at Berkeley , 1954 .

Kramer , V . A . 1 . Investigations in asymptotic perturbation series . Dissertation ,

Univ . of ...

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**Russian**) Math . Rev . 14 , 55 ( 1953 ) . Kramer , H . P . 1 . Perturbation ofdifferential operators . Dissertation , Univ . of California at Berkeley , 1954 .

Kramer , V . A . 1 . Investigations in asymptotic perturbation series . Dissertation ,

Univ . of ...

Page 1831

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theory . Mat . Sbornik N . S . 33 ( 75 ) , 597 - 626 ( 1953 ) . (

15 , 720 ( 1954 ) . The theory of self - adjoint extensions of semi - bounded ...

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**Russian**) Math . Rev . 11 , 670 ( 1950 ) . On the trace formula in perturbationtheory . Mat . Sbornik N . S . 33 ( 75 ) , 597 - 626 ( 1953 ) . (

**Russian**) Math . Rev .15 , 720 ( 1954 ) . The theory of self - adjoint extensions of semi - bounded ...

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with infinite deficiency indices and their orthogonal extensions . Doklady Akad .

Nauk SSSR ( N . S . ) 87 , 11 - 14 ( 1952 ) . (

1953 ) ...

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**Russian**. English summary ) Math . Rev . 6 , 276 ( 1945 ) . Isometric operatorswith infinite deficiency indices and their orthogonal extensions . Doklady Akad .

Nauk SSSR ( N . S . ) 87 , 11 - 14 ( 1952 ) . (

**Russian**) Math . Rev . 14 , 882 (1953 ) ...

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### Contents

IX | 859 |

Eigenvalues and Eigenvectors | 903 |

Spectral Representation | 911 |

Copyright | |

15 other sections not shown

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