## Linear Operators: Spectral theory |

### From inside the book

Results 1-3 of 77

Page 1852

On one parameter semi-groups of

2, 234–237 (1951). 9. Semi-groups of operators. Bull. Amer. Math. Soc. 61, 16–

33 (1955). 10. An inversion formula for Laplace transforms and semi-groups of ...

On one parameter semi-groups of

**linear**transformations. Proc. Amer. Math. Soc.2, 234–237 (1951). 9. Semi-groups of operators. Bull. Amer. Math. Soc. 61, 16–

33 (1955). 10. An inversion formula for Laplace transforms and semi-groups of ...

Page 1877

Duke Math. J. 18, 795–798 (1951). 2. An application of Banach

to summability. Trans. Amer. Math. Soc. 67, 59–68 (1949). Wilder, C. E. 1.

Expansion problems of ordinary

conditions ...

Duke Math. J. 18, 795–798 (1951). 2. An application of Banach

**linear**functionalsto summability. Trans. Amer. Math. Soc. 67, 59–68 (1949). Wilder, C. E. 1.

Expansion problems of ordinary

**linear**differential equations with auxiliaryconditions ...

Page 1912

INDEX of £" in the bounded 3 topology, V.5.5 (428) separation of convex sets in,

V.2.10– 13 (417–418) Lower bound for an operator, XII.5.1 (1240) M Manifold,

closed

INDEX of £" in the bounded 3 topology, V.5.5 (428) separation of convex sets in,

V.2.10– 13 (417–418) Lower bound for an operator, XII.5.1 (1240) M Manifold,

closed

**linear**, spanned by a set, II.1.4 (50) in a**linear**space, (36). (See also**Linear**...### What people are saying - Write a review

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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