Linear Operators: General theory |
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Page 564
... differential system for each te I. The theory of differential equations assures us that for each to € I and each yo e E " there exists a unique solution y ( t ) such that y ( t ) = yo 20 Show that the solutions of dy / dt sional complex ...
... differential system for each te I. The theory of differential equations assures us that for each to € I and each yo e E " there exists a unique solution y ( t ) such that y ( t ) = yo 20 Show that the solutions of dy / dt sional complex ...
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 762
... differential equations of second order . Duke Math . J. 14 , 323-326 ( 1947 ) . Unrestricted solution fields of almost separable differential equations . Trans . Amer . Math . Soc . 63 , 560-580 ( 1948 ) . On differential equations with ...
... differential equations of second order . Duke Math . J. 14 , 323-326 ( 1947 ) . Unrestricted solution fields of almost separable differential equations . Trans . Amer . Math . Soc . 63 , 560-580 ( 1948 ) . On differential equations with ...
Contents
Preliminary Concepts | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
Copyright | |
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A₁ Acad additive set function algebra Amer analytic arbitrary B-space B₁ 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 ergodic exists f₁ finite dimensional function defined function f 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-integrable u-measurable uniformly weak topology weakly compact weakly sequentially compact zero ΕΕΣ