## Linear Operators: Spectral theory |

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Page 1812

Usgehi Mat. Nauk (N.S.) 5, no. 6 (40), 102–135 (1950). (

254 (1952). Amer. Math. Soc. Translation no. 96 (1953). 2. On the deficiency

inder of differential operators. Doklady Akad. Nauk SSSR (N.S.) 64, 151–154 (

1949).

Usgehi Mat. Nauk (N.S.) 5, no. 6 (40), 102–135 (1950). (

**Russian**) Math. Rev. 13,254 (1952). Amer. Math. Soc. Translation no. 96 (1953). 2. On the deficiency

inder of differential operators. Doklady Akad. Nauk SSSR (N.S.) 64, 151–154 (

1949).

Page 1831

(

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

The theory of self-adjointertensions of semi-bounded Hermitian operators and ...

(

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

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

Page 1865

(

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

Nauk SSSR (N.S.) 87, 11–14 (1952). (

(

**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

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Spectral Representation | 909 |

Copyright | |

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### Common terms and phrases

adjoint extension adjoint operator algebra Amer analytic B-algebra Banach Borel set boundary conditions boundary values bounded operator closed closure Cº(I coefficients complete complex numbers continuous function converges Corollary deficiency indices Definition denote dense differential equations Doklady Akad domain eigenfunctions eigenvalues element essential spectrum exists finite dimensional follows from Lemma follows from Theorem follows immediately formal differential operator formally self adjoint formula Fourier function f Haar measure Hence Hilbert space Hilbert-Schmidt operator identity inequality integral interval kernel Lemma Let f linear operator linearly independent mapping Math matrix measure Nauk SSSR N.S. neighborhood norm open set operators in Hilbert orthogonal orthonormal Plancherel's theorem positive Proc PRoof prove real numbers satisfies sequence singular ſº solution spectral spectral set spectral theory square-integrable subspace Suppose theory To(r topology transform unique unitary vanishes vector zero