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Page 783
... transformations in certain vector spaces . Bull . Amer . Math . Soc . 45 , 564-569 ( 1939 ) . On a calculus of ... transformations in reflexive vector spaces . Trans . Amer . Math . Soc . 49 , 18-40 ( 1941 ) . Means of iterated ...
... transformations in certain vector spaces . Bull . Amer . Math . Soc . 45 , 564-569 ( 1939 ) . On a calculus of ... transformations in reflexive vector spaces . Trans . Amer . Math . Soc . 49 , 18-40 ( 1941 ) . Means of iterated ...
Page 790
... transformations . Bull . Amer . Math . Soc . 48 , 76–93 ( 1942 ) . 4. Linear transformations between Hilbert spaces and the application of this theory to linear partial differential equations . Trans . Amer . Math . Soc . 37 , 301-338 ...
... transformations . Bull . Amer . Math . Soc . 48 , 76–93 ( 1942 ) . 4. Linear transformations between Hilbert spaces and the application of this theory to linear partial differential equations . Trans . Amer . Math . Soc . 37 , 301-338 ...
Page 803
... transformations hermitiennes dans l'espace de Hilbert . Acta Sci . Math . Szeged 7 , 147-159 ( 1935 ) . Über Sätze von Stone und Bochner . Acta Sci . Math . Szeged 6 , 184–198 ( 1933 ) . Sur quelques notions fondamentales dans la ...
... transformations hermitiennes dans l'espace de Hilbert . Acta Sci . Math . Szeged 7 , 147-159 ( 1935 ) . Über Sätze von Stone und Bochner . Acta Sci . Math . Szeged 6 , 184–198 ( 1933 ) . Sur quelques notions fondamentales dans la ...
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