## Linear Operators: General theory |

### From inside the book

Results 1-3 of 39

Page 738

Boundary value and expansion problems of ordinary linear

Trans. Amer. Math. Soc. 9, 873-395 (1908). 4. Existence and oscillation theorems

for a certain boundary value problem. Trans. Amer. Math. Soc. 10, 259-270 ...

Boundary value and expansion problems of ordinary linear

**differential equations**.Trans. Amer. Math. Soc. 9, 873-395 (1908). 4. Existence and oscillation theorems

for a certain boundary value problem. Trans. Amer. Math. Soc. 10, 259-270 ...

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

order.

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 arbitraryorder.

Page 763

On the essential spectra of ordinary

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

of boundary value problems. Amer. J. Math. 70, 847-855 (1948). 2. The gaps ...

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 tlie spectrum

of boundary value problems. Amer. J. Math. 70, 847-855 (1948). 2. The gaps ...

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

79 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

a-field Acad additive set function algebra Amer analytic arbitrary B-space ba(S Banach spaces Borel sets ca(S Cauchy sequence closed linear manifold compact operator complex numbers contains continuous functions continuous linear converges convex set Corollary countably additive Definition denote dense differential equations Doklady Akad element equivalent everywhere exists extended real valued extension fi(E finite dimensional finite number function f Hausdorff space Hence Hilbert space homeomorphism inequality integral interval Lebesgue measure Lemma linear functional linear map linear operator linear topological space LP(S measurable function measure space metric space Nauk SSSR N. S. neighborhood non-negative normed linear space null set open set operator topology positive measure space Proc Proof properties proved real numbers Russian scalar semi-group sequentially compact Show simple functions subset subspace Suppose theory topological space uniformly unique v(fi valued function Vber vector valued weakly compact zero