## Linear Operators: General theory |

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Page 762

Lt-solulions of linear

Unrestricted solution fields of almost separable

On the linear logarithmico-exponential

Amer.

Lt-solulions of linear

**differential equations**of second order. Duke Math. ...Unrestricted solution fields of almost separable

**differential equations**. Trans. ...On the linear logarithmico-exponential

**differential equation**of the second order.Amer.

Page 763

On the essential spectra of ordinary

888 (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). 2. The

gaps ...

On the essential spectra of ordinary

**differential equations**. Amer. J. Math. 76, 831-888 (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). 2. The

gaps ...

Page 779

2. On the wave

(1949). 8. The expansion problem in the theory of ordinary

the second order. Trans. Amer. Math. Soc. 81, 868-906 (1929). LaSalle, J. P. 1.

2. On the wave

**equation**with small quantum numbers. Phys. Rev. 75, 1578-1578(1949). 8. The expansion problem in the theory of ordinary

**differential**systems ofthe second order. Trans. Amer. Math. Soc. 81, 868-906 (1929). LaSalle, J. P. 1.

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

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additive set function algebra Amer analytic arbitrary B-space ba(S Banach spaces Borel sets Cauchy sequence compact Hausdorff space compact operator complex numbers contains continuous functions continuous linear converges convex set Corollary countably additive Definition denote dense differential equations disjoint Doklady Akad Duke Math element ergodic theorem exists finite dimensional function defined Hausdorff space Hence Hilbert space homeomorphism ibid inequality integral Lebesgue Lebesgue measure Lemma linear functional linear map linear operator linear topological space measurable function measure space metric space Nauk SSSR N. S. neighborhood non-negative normed linear space open set operator topology positive measure space Proc Proof properties proved real numbers reflexive Riesz Russian Sbornik N. S. scalar self-adjoint semi-group sequentially compact Show simple functions spectral Studia Math subset subspace Suppose theory topological space Trans uniformly Univ valued function Vber vector space weak topology weakly compact zero