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Page 414
... boundary point of K ; it remains to show that if the convex set K has at least one interior point p , an internal point 1 is an interior point , and a boundary point 2 is a bounding point . 1 Since q is internal , the vector r = −εp + ...
... boundary point of K ; it remains to show that if the convex set K has at least one interior point p , an internal point 1 is an interior point , and a boundary point 2 is a bounding point . 1 Since q is internal , the vector r = −εp + ...
Page 738
Nelson Dunford, Jacob T. Schwartz. 3. Boundary value and expansion problems of ordinary linear differential equations . Trans . Amer . Math . Soc . 9 , 373-395 ( 1908 ) . 4 . Existence and oscillation theorems for a certain boundary ...
Nelson Dunford, Jacob T. Schwartz. 3. Boundary value and expansion problems of ordinary linear differential equations . Trans . Amer . Math . Soc . 9 , 373-395 ( 1908 ) . 4 . Existence and oscillation theorems for a certain boundary ...
Page 777
... boundary value problem of even order in the interval ( 0 , ∞ ) . Doklady Akad . Nauk SSSR ( N. S. ) 74 , 9-12 ( 1950 ) . ( Russian ) Math . Rev. 12 , 502 ( 1951 ) . Solution of the inverse Sturm - Liouville problem . Doklady Akad ...
... boundary value problem of even order in the interval ( 0 , ∞ ) . Doklady Akad . Nauk SSSR ( N. S. ) 74 , 9-12 ( 1950 ) . ( Russian ) Math . Rev. 12 , 502 ( 1951 ) . Solution of the inverse Sturm - Liouville problem . Doklady Akad ...
Contents
Preliminary Concepts | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
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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