## Linear Operators: General theory |

### From inside the book

Results 1-3 of 41

Page 738

Boundary value and expansion problems of ordinary linear

. Trans . Amer . Math . Soc . 9 , 373 – 395 ( 1908 ) . Existence and oscillation

theorems for a certain boundary value problem . Trans . Amer . Math . Soc . 10 ,

259 ...

Boundary value and expansion problems of ordinary linear

**differential equations**. Trans . Amer . Math . Soc . 9 , 373 – 395 ( 1908 ) . Existence and oscillation

theorems for a certain boundary value problem . Trans . Amer . Math . Soc . 10 ,

259 ...

Page 741

The Dirichlet problem for linear elliptic equations of arbitrary even order with

variable coefficients . Proc . Nat . Acad . Sci . U . S . A . 38 , 230 - 235 ( 1952 ) . 2 .

The Dirichlet and vibration problems for linear elliptic

The Dirichlet problem for linear elliptic equations of arbitrary even order with

variable coefficients . Proc . Nat . Acad . Sci . U . S . A . 38 , 230 - 235 ( 1952 ) . 2 .

The Dirichlet and vibration problems for linear elliptic

**differential equations**of ...Page 763

On the essential spectra of ordinary

831 - 838 ( 1954 ) . Hartman , P . , and Putnam , C . 1 . The least cluster point of

the spectrum of boundary value problems . Amer . J . Math . 70 , 847 – 855 ( 1948

) ...

On the essential spectra of ordinary

**differential equations**. Amer . J . Math . 76 ,831 - 838 ( 1954 ) . Hartman , P . , and Putnam , C . 1 . The least cluster point of

the spectrum of boundary value problems . Amer . J . Math . 70 , 847 – 855 ( 1948

) ...

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

21 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

algebra Amer analytic applied arbitrary assumed B-space Banach Banach spaces bounded called clear closed compact complex Consequently constant contains converges convex Corollary defined DEFINITION denote dense determined differential disjoint domain element equation equivalent everywhere Exercise exists extension field finite follows formula function defined function f given Hence Hilbert space identity implies inequality integral interval Lebesgue Lemma limit linear functional linear operator linear space Math mean measure space metric neighborhood norm positive measure problem Proc projection PROOF properties proved respect Russian satisfies scalar seen semi-group separable sequence set function Show shown sphere statement strongly subset sufficient Suppose Theorem theory topological space topology transformations u-measurable uniform uniformly unique unit valued vector weak weakly compact zero