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Page 773
... Math . Soc . 72 , 323-326 ( 1952 ) . 3 . 4 . 5 . 6 . The Tychonoff product theorem implies the axiom of choice . Fund . Math . 37 , 75-76 ( 1950 ) . Convergence in topology . Duke Math . J. 17 , 277-283 ( 1950 ) . General topology . D ...
... Math . Soc . 72 , 323-326 ( 1952 ) . 3 . 4 . 5 . 6 . The Tychonoff product theorem implies the axiom of choice . Fund . Math . 37 , 75-76 ( 1950 ) . Convergence in topology . Duke Math . J. 17 , 277-283 ( 1950 ) . General topology . D ...
Page 780
... Duke Math . J. 17 , 57-62 ( 1950 ) . On self - adjoint differential equations of second order . J. London Math . Soc . 27 , 33-47 ( 1952 ) . 1. Sur la notion du groupe abstrait topologique . Fund . Math . 9 , 37-44 ( 1927 ) . Lengyel ...
... Duke Math . J. 17 , 57-62 ( 1950 ) . On self - adjoint differential equations of second order . J. London Math . Soc . 27 , 33-47 ( 1952 ) . 1. Sur la notion du groupe abstrait topologique . Fund . Math . 9 , 37-44 ( 1927 ) . Lengyel ...
Page 822
... Math . Ann . 68 , 220-269 ( 1910 ) . 6 . Almost periodic invariant vector sets in a metric vector space . Amer . J ... Duke Math . J. 7 , 411-444 ( 1940 ) . Weyr , E. 1. Note sur la théorie des quantités complexes formées avec n unités ...
... Math . Ann . 68 , 220-269 ( 1910 ) . 6 . Almost periodic invariant vector sets in a metric vector space . Amer . J ... Duke Math . J. 7 , 411-444 ( 1940 ) . Weyr , E. 1. Note sur la théorie des quantités complexes formées avec n unités ...
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