## 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 ** ( ) is u - measurable and

be a fixed element of X and let yo be a closed subspace spanned by x , and Y.

To complete the proof of the corollary it must be shown that for an arbitrary x in X

the function ** ( ) is u - measurable and

**equation**( i ) holds . Consequently , let x ,be a fixed element of X and let yo be a closed subspace spanned by x , and Y.

Page 762

On a class of linear

The Ly - solutions of linear differential

logarithmico - exponential differential

On a class of linear

**equations**with symmetrizable operators . Doklady Akad . ...The Ly - solutions of linear differential

**equations**of second order . ... On the linearlogarithmico - exponential differential

**equation**of the second order . Amer .Page 763

Sci . U.S.A. 33 , 376-379 ( 1947 ) . 3. The asymptotic arcus variation of solutions

of real linear differential

1948 ) 4 . Criteria for the non - degeneracy of the wave

Sci . U.S.A. 33 , 376-379 ( 1947 ) . 3. The asymptotic arcus variation of solutions

of real linear differential

**equations**of second order . Amer . J. Math . 70 , 1-10 (1948 ) 4 . Criteria for the non - degeneracy of the wave

**equation**. Amer . J. Math .### What people are saying - Write a review

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### Contents

B Topological Preliminaries | 10 |

quences | 26 |

Algebraic Preliminaries | 34 |

Copyright | |

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Acad algebra Amer analytic applied arbitrary assumed B-space Banach Banach spaces bounded called clear closed compact complex condition contains continuous functions converges convex Corollary countably additive defined DEFINITION denote dense determined differential disjoint Doklady Akad 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 meaning measure space metric neighborhood norm operator positive measure problem Proc PROOF properties proved respect Russian satisfies scalar seen semi-group separable sequence set function Show shown sphere statement subset sufficient Suppose Theorem theory topological space topology transformations u-measurable uniform uniformly unique unit valued vector weak weakly compact zero