## Linear Operators: Spectral theory |

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Page 1831

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Mat. Sbornik N. S. 83 (75), 597–626 (1953). (

The theory of self-adjoint extensions of semi-bounded Hermitian operators and ...

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**Russian**) Math. Rev. 11, 670 (1950). On the trace formula in perturbation theory.Mat. Sbornik N. S. 83 (75), 597–626 (1953). (

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

Page 1848

Izvestiya Akad. Nauk SSSR 4, 53–104 (1940). (

Rev. 2, 104 (1941). 8. Spectral functions of a symmetric operator. Izvestiya Akad.

Nauk SSSR (N. S.) 4, 277–318 (1940). (

Izvestiya Akad. Nauk SSSR 4, 53–104 (1940). (

**Russian**. English summary) Math.Rev. 2, 104 (1941). 8. Spectral functions of a symmetric operator. Izvestiya Akad.

Nauk SSSR (N. S.) 4, 277–318 (1940). (

**Russian**. English summary) Math. Rev.Page 1865

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

Nauk SSSR (N.S.) 87, 11–14 (1952). (

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**Russian**. English summary) Math. Rev. 6, 276 (1945). 15. 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). 16.### What people are saying - Write a review

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### Contents

SPECTRAL THEORY | 858 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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### Common terms and phrases

additive Akad algebra Amer analytic applied assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complete 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 measure multiplicity 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