## Linear Operators: Spectral theory |

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Results 1-3 of 83

Page 1902

13 (968) Characteristic function, (8) Characteristic polynomial,

561), XI.6.9 (1017) properties, VII.2.1-4 (561-562), VII.5.17 (582), VII.10.8 (606)

Characteristic value, (606) Characterizations, of Hilbert space, (393-394) of L„, ...

13 (968) Characteristic function, (8) Characteristic polynomial,

**definition**, VII.2.1 (561), XI.6.9 (1017) properties, VII.2.1-4 (561-562), VII.5.17 (582), VII.10.8 (606)

Characteristic value, (606) Characterizations, of Hilbert space, (393-394) of L„, ...

Page 1907

Egoroff theorem, on almost everywhere and /i-uniform convergence, III.6.12 (149)

Eigenvalue,

second ...

Egoroff theorem, on almost everywhere and /i-uniform convergence, III.6.12 (149)

Eigenvalue,

**definition**, VII. 1.2 (556), V1I.11 (606), X.3.1 (902) Eigenvector,**definition**, VII. 1.2 (556), X.3.1 (903) Embedding, natural, of a B-spaee into itssecond ...

Page 1921

space,

algebras, 1.12.1 (41), (44) -Weierstrass theorem, IV.6.16 (272) complex case, IV.

6.17 (274) remarks on, (383-385) Strictly convex B-space,

Strictly ...

space,

**definition**, (398) theorems on representation of Boolean rings andalgebras, 1.12.1 (41), (44) -Weierstrass theorem, IV.6.16 (272) complex case, IV.

6.17 (274) remarks on, (383-385) Strictly convex B-space,

**definition**, VII.7 (458)Strictly ...

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### Contents

BAlgebras | 859 |

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 constant 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 q Haar measure Hence Hilbert space Hilbert-Schmidt operator hypothesis identity inequality integral interval kernel Lemma linear operator linearly independent mapping matrix measure Nauk SSSR N. S. neighborhood norm open set operators in Hilbert orthogonal orthonormal partial differential operator Plancherel's theorem positive preceding lemma Proc prove real axis real numbers representation satisfies Section sequence singular solution spectral spectral theory square-integrable subspace Suppose symmetric operator theory topology transform unique unitary vanishes vector zero