## Linear Operators: Spectral theory |

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Page 1858

Elements of mathematical logic. Dover Publications, New York, 1950. 2.

Perturbations of linear operators in

. Rosenthal, A. (see Hahn, H., and Hartogs, F.) Rosser, J. B. 1. Logic for

mathematicians.

Elements of mathematical logic. Dover Publications, New York, 1950. 2.

Perturbations of linear operators in

**Banach**spaces. Arch. Math. 6, 89–101 (1955). Rosenthal, A. (see Hahn, H., and Hartogs, F.) Rosser, J. B. 1. Logic for

mathematicians.

Page 1864

Weak compactness in

A. (see Kostyučenko, A.) Slobodyanskii, M. G. 1. On estimates for the eigenvalues

of a self-adjoint operator. Akad. Nauk SSSR. Prikl. Mat. Meh. 19, 295–314 ...

Weak compactness in

**Banach**spaces. Studia Math. 11, 71–94 (1950). Skorohod,A. (see Kostyučenko, A.) Slobodyanskii, M. G. 1. On estimates for the eigenvalues

of a self-adjoint operator. Akad. Nauk SSSR. Prikl. Mat. Meh. 19, 295–314 ...

Page 1869

The eartension of linear functionals. Duke Math. J. 5, 538–547 (1939). 2. The

weak topologies of

465–474 (1941); 44, 45–63 (1942). 3. The weak topologies of

Proc.

The eartension of linear functionals. Duke Math. J. 5, 538–547 (1939). 2. The

weak topologies of

**Banach**spaces. Revista Ci., Lima 42,355–366 (1940); 43,465–474 (1941); 44, 45–63 (1942). 3. The weak topologies of

**Banach**spaces.Proc.

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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