## Linear Operators, Part 2 |

### From inside the book

Results 1-3 of 34

Page 1830

(

Vinogradov, A. A. 1. On a criterion of uniform convexity of a space of type B.

Uspehi Matem. Nauk 7, no. 3 (49) 131-184 (1952). (

1958).

(

**Russian**. Latvian summary) Math. Rev. 15, 440 (1954). Kraékovskii, S. N., andVinogradov, A. A. 1. On a criterion of uniform convexity of a space of type B.

Uspehi Matem. Nauk 7, no. 3 (49) 131-184 (1952). (

**Russian**) Math. Rev. 14, 55 (1958).

Page 1848

8. 9. 10. 11. 12. Self-adjoint extensions of the second kind of a symmetric

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

summary) Math. Rev. 2, 104 (1941). Spectral functions of a symmetric operator.

Izvestiya Akad.

8. 9. 10. 11. 12. Self-adjoint extensions of the second kind of a symmetric

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

**Russian**. Englishsummary) Math. Rev. 2, 104 (1941). Spectral functions of a symmetric operator.

Izvestiya Akad.

Page 1865

(

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

SSSR (N. S.)87, ll-14 (1952). (

...

(

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

SSSR (N. S.)87, ll-14 (1952). (

**Russian**) Math. Rev. 14, as2 (1953). Operators with...

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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

Acad adjoint extension adjoint operator algebra Amer analytic B-algebra Banach spaces Borel set boundary conditions boundary values bounded operator closed closure coefficients 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 hypothesis identity inequality integral interval kernel Lemma Let f linear operator linearly independent mapping matrix measure Nauk SSSR N. S. neighborhood norm open set operators in Hilbert orthogonal orthonormal Paoor partial differential operator Pnoor positive preceding lemma Proc prove real axis real numbers representation satisfies second order Section sequence singular solution spectral set spectral theory square-integrable subspace Suppose symmetric operator topology transform unique unitary vanishes vector zero