## Linear Operators: Spectral theory |

### From inside the book

Results 1-3 of 69

Page 1797

Non -

Math . Soc . 75 , 552 – 575 ( 1953 ) . Cameron , R . H . , and Graves , R . E . 1 .

Additive functionals on a space of continuous functions . I . Trans . Amer . Math .

Soc .

Non -

**linear**transformations of Volterra type in Wiener space . Trans . Amer .Math . Soc . 75 , 552 – 575 ( 1953 ) . Cameron , R . H . , and Graves , R . E . 1 .

Additive functionals on a space of continuous functions . I . Trans . Amer . Math .

Soc .

Page 1844

Convexity in a

1939 ) . 2 . On the supporting - plane property of a convex body . Bull . Amer .

Math . Soc . 46 , 482 – 489 ( 1940 ) . Munroe , M . E . 1 . Absolute and

unconditional ...

Convexity in a

**linear**space with an inner product . Duke Math . J . 5 , 520 - 534 (1939 ) . 2 . On the supporting - plane property of a convex body . Bull . Amer .

Math . Soc . 46 , 482 – 489 ( 1940 ) . Munroe , M . E . 1 . Absolute and

unconditional ...

Page 1912

14 ( 12 ) Line integral , definition , ( 225 )

functional , ( 38 ) . ( See also Functional )

Manifold )

normed , II . 3 .

14 ( 12 ) Line integral , definition , ( 225 )

**Linear**dimension , ( 91 )**Linear**functional , ( 38 ) . ( See also Functional )

**Linear**manifold , ( 36 ) . ( See alsoManifold )

**Linear**operator , ( 36 ) . ( See also Bspace )**Linear**space , 1 . 11normed , II . 3 .

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### Contents

IX | 859 |

extensive presentation of applications of the spectral theorem | 911 |

Miscellaneous Applications | 937 |

Copyright | |

20 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 give 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