## Linear Operators: Spectral theory |

### From inside the book

Results 1-3 of 65

Page 1801

Operations in

Ergodic theorems for abelian semi-groups. Trans. Amer. Math. Soc. 51, 399-412 (

1942). Strict convexity and smoothness of normed spaces. Trans. Amer. Math.

Soc.

Operations in

**Banach**spaces. Trans.Amer. Math. Soc. 51, 583-608 (1942).Ergodic theorems for abelian semi-groups. Trans. Amer. Math. Soc. 51, 399-412 (

1942). Strict convexity and smoothness of normed spaces. Trans. Amer. Math.

Soc.

Page 1856

The singular elements of a

. 5. Isomorphic groups of linear transformations. Amer. J. Math. 72,451–464 (

1950). 6.

550 ...

The singular elements of a

**Banach**algebra. Duke Math. J. 14, 1063–1077 (1947). 5. Isomorphic groups of linear transformations. Amer. J. Math. 72,451–464 (

1950). 6.

**Banach**algebras with an adjoint operation. Ann. of Math. (2) 47, 528–550 ...

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.

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

48 other sections not shown

### Other editions - View all

Linear Operators, Part 1 Nelson Dunford,Jacob T. Schwartz,William G. Bade,Robert G. Bartle Snippet view - 1958 |

### Common terms and phrases

additive adjoint adjoint operator algebra analytic assume B-algebra basis belongs Borel set boundary conditions boundary values bounded called clear closed closure coefficients commutative compact complex Consequently consider constant contains converges Corollary corresponding defined Definition denote dense determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension fact finite follows formal differential operator formula function function f given Hence Hilbert space ideal identity independent indices inequality integral interval isometric isomorphism Lemma linear mapping matrix measure multiplicity neighborhood norm normal operator obtained positive preceding present projection proof properties prove range regular representation respectively restriction result satisfies seen sequence shown singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique unit vanishes vector zero