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Page 738
... differential equations . Trans . Amer . Math . Soc . 9 , 373-395 ( 1908 ) . 4 . Existence and oscillation theorems for a certain boundary value problem . Trans . Amer . Math . Soc . 10 , 259-270 ( 1909 ) . 5. Quantum mechanics and ...
... differential equations . Trans . Amer . Math . Soc . 9 , 373-395 ( 1908 ) . 4 . Existence and oscillation theorems for a certain boundary value problem . Trans . Amer . Math . Soc . 10 , 259-270 ( 1909 ) . 5. Quantum mechanics and ...
Page 780
... differential equation . Duke Math . J. 17 , 57-62 ( 1950 ) . Leja , F. On self - adjoint differential equations of second order . J. London Math . Soc . 27 , 33-47 ( 1952 ) . 1. Sur la notion du groupe abstrait topologique . Fund . Math ...
... differential equation . Duke Math . J. 17 , 57-62 ( 1950 ) . Leja , F. On self - adjoint differential equations of second order . J. London Math . Soc . 27 , 33-47 ( 1952 ) . 1. Sur la notion du groupe abstrait topologique . Fund . Math ...
Page 781
... differential equations of the second order . Gosudarstv . Izdat . Tehn . - Teor . Lit. , Moscow - Leningrad , 1950 . On a decomposition theorem for characteristic functions of differential equations of second order . Doklady Akad . Nauk ...
... differential equations of the second order . Gosudarstv . Izdat . Tehn . - Teor . Lit. , Moscow - Leningrad , 1950 . On a decomposition theorem for characteristic functions of differential equations of second order . Doklady Akad . Nauk ...
Contents
A Settheoretic Preliminaries | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
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A₁ Acad additive set function algebra Amer analytic arbitrary B-space ba(S Banach spaces Borel sets ca(S Cauchy sequence compact Hausdorff space compact operator complex numbers contains continuous functions converges convex set Corollary countably additive DEFINITION dense disjoint Doklady Akad E₁ element exists f₁ finite dimensional function defined function f g₁ Hausdorff space Hence Hilbert space homeomorphism implies inequality integral isometric isomorphism K₁ L₁ L₁(S Lebesgue Lemma Let f linear manifold linear map linear operator linear topological space measurable functions measure space metric space Nauk SSSR N. S. neighborhood non-negative o-field o-finite open set operator topology positive measure space Proc PROOF properties proved real numbers reflexive Riesz S₁ scalar semi-group sequentially compact Show subset subspace Suppose theory topological space u-measurable uniformly weak topology weakly compact weakly sequentially compact zero ΕΕΣ