## Linear Operators: General theory |

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Page 505

To complete the proof of the corollary it must be shown that for an arbitrary x in X the function x * ( • ) æ is - measurable and

To complete the proof of the corollary it must be shown that for an arbitrary x in X the function x * ( • ) æ is - measurable and

**equation**( i ) holds . Consequently , let X , be a fixed element of X and let Y , be a closed subspace ...Page 741

The Dirichlet problem for linear elliptic

The Dirichlet problem for linear elliptic

**equations**of arbitrary even order with variable coefficients . ... Assumption of boundary values and the Green's function in the Dirichlet problem for the general linear elliptic**equation**.Page 780

On the detection of the oscillation of a second order linear differential

On the detection of the oscillation of a second order linear differential

**equation**. Duke Math . J. 17 , 57-62 ( 1950 ) . 4. On self - adjoint differential**equations**of second order . J. London Math . Soc . 27 , 33–47 ( 1952 ) .### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

quences | 26 |

Copyright | |

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### Common terms and phrases

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