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Page 742
... Univ . of California , Berkeley ( 1955 ) . Cafiero , F. 1 . Criteri di compattezza per le successioni di funzioni generalmente a variazione limitata , I , II . I. Atti Accad . Naz . Lincei . Rend . Cl . Sci . Fis . Math . Nat . ( 8 ) ...
... Univ . of California , Berkeley ( 1955 ) . Cafiero , F. 1 . Criteri di compattezza per le successioni di funzioni generalmente a variazione limitata , I , II . I. Atti Accad . Naz . Lincei . Rend . Cl . Sci . Fis . Math . Nat . ( 8 ) ...
Page 795
... Univ . Ser . A. 11 , 125-128 ( 1942 ) . 2. On Fréchet lattices , I. J. Sci . Hirosima Univ . Ser . A. 12 , 235-248 ( 1943 ) . ( Japanese ) Math . Rev. 10 , 544 ( 1949 ) . 3 . Remarks on a vector lattice with a metric function . J. Sci ...
... Univ . Ser . A. 11 , 125-128 ( 1942 ) . 2. On Fréchet lattices , I. J. Sci . Hirosima Univ . Ser . A. 12 , 235-248 ( 1943 ) . ( Japanese ) Math . Rev. 10 , 544 ( 1949 ) . 3 . Remarks on a vector lattice with a metric function . J. Sci ...
Page 815
... Univ . Sofia , Livre 1 , Partie II . 45 , 263–286 ( 1949 ) . ( Bulgarian . French summary ) Math . Rev. 12 , 420 ( 1951 ) . 2. Zur Geometrie des Kegels in den Hilbertschen Räumen . Annuaire [ Godišnik ] Fac . Sci . Phys . Math . , Univ ...
... Univ . Sofia , Livre 1 , Partie II . 45 , 263–286 ( 1949 ) . ( Bulgarian . French summary ) Math . Rev. 12 , 420 ( 1951 ) . 2. Zur Geometrie des Kegels in den Hilbertschen Räumen . Annuaire [ Godišnik ] Fac . Sci . Phys . Math . , Univ ...
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