Linear Operators: General theory |
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Page 762
The L , -solutions of linear differential equations of second order . Duke Math . J. 14 , 323–326 ( 1947 ) . 4. Unrestricted solution fields of almost separable differential equations . Trans . Amer . Math . Soc .
The L , -solutions of linear differential equations of second order . Duke Math . J. 14 , 323–326 ( 1947 ) . 4. Unrestricted solution fields of almost separable differential equations . Trans . Amer . Math . Soc .
Page 763
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 .
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 .
Page 781
The application of generalized displacement operators to linear differential equations of the second order . Uspehi Matem . Nauk ( N. S. ) 4 , no . 1 ( 29 ) , 3–112 ( 1949 ) . ( Russian ) Math . Rev. 11 , 116 ( 1950 ) . Amer . Math .
The application of generalized displacement operators to linear differential equations of the second order . Uspehi Matem . Nauk ( N. S. ) 4 , no . 1 ( 29 ) , 3–112 ( 1949 ) . ( Russian ) Math . Rev. 11 , 116 ( 1950 ) . Amer . Math .
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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