Linear Operators: General theory |
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Page 738
... 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 asymptotic series . Bull ...
... 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 asymptotic series . Bull ...
Page 783
... Trans . Amer . Math . Soc . 52 , 238–248 ( 1942 ) . The integral representation of weakly almost - periodic transformations in reflexive vector spaces . Trans . Amer . Math . Soc . 49 , 18-40 ( 1941 ) . Means of iterated transformations ...
... Trans . Amer . Math . Soc . 52 , 238–248 ( 1942 ) . The integral representation of weakly almost - periodic transformations in reflexive vector spaces . Trans . Amer . Math . Soc . 49 , 18-40 ( 1941 ) . Means of iterated transformations ...
Page 790
... Trans . Amer . Math . Soc . 37 , 301-338 ( 1935 ) . 5. Linear transformations in L ,, p > 1. Trans . Amer . Math . Soc . 39 , 83–100 ( 1936 ) . 6. Bilinear transformations in Hilbert space . Trans . Amer . Math . Soc . 45 , 474-507 ...
... Trans . Amer . Math . Soc . 37 , 301-338 ( 1935 ) . 5. Linear transformations in L ,, p > 1. Trans . Amer . Math . Soc . 39 , 83–100 ( 1936 ) . 6. Bilinear transformations in Hilbert space . Trans . Amer . Math . Soc . 45 , 474-507 ...
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