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Page 776
... Doklady Akad . Nauk SSSR ( N. S. ) 56 , 559-561 ( 1947 ) . ( Russian ) Math . Rev. 9 , 242 ( 1948 ) . On the extension of Hermitian operators with a nondense domain of definition . Doklady Akad . Nauk SSSR ( N. S. ) 59 , 13-16 ( 1948 ) ...
... Doklady Akad . Nauk SSSR ( N. S. ) 56 , 559-561 ( 1947 ) . ( Russian ) Math . Rev. 9 , 242 ( 1948 ) . On the extension of Hermitian operators with a nondense domain of definition . Doklady Akad . Nauk SSSR ( N. S. ) 59 , 13-16 ( 1948 ) ...
Page 798
... Doklady Akad . Nauk SSSR ( N. S. ) 36 , 227-230 ( 1942 ) . 2 . On normed K - spaces . Doklady Akad . Nauk SSSR ( N. S. ) 33 , 12–14 ( 1941 ) . 3. Universal K - spaces . Doklady Akad . Nauk SSSR ( N. S. ) 49 , 8-11 ( 1945 ) . On the ...
... Doklady Akad . Nauk SSSR ( N. S. ) 36 , 227-230 ( 1942 ) . 2 . On normed K - spaces . Doklady Akad . Nauk SSSR ( N. S. ) 33 , 12–14 ( 1941 ) . 3. Universal K - spaces . Doklady Akad . Nauk SSSR ( N. S. ) 49 , 8-11 ( 1945 ) . On the ...
Page 819
... Doklady Akad . Nauk SSSR ( N. S. ) 26 , 850-854 ( 1940 ) . 2 . 3 . 4 . 5 . 6 . 7 . 8 . 9 . 10 . 11 . 12 . Sur les propriétés du produit et de l'élément inverse dans les espaces semi- ordonnés linéaires . Doklady Akad . Nauk SSSR ( N. S. ) ...
... Doklady Akad . Nauk SSSR ( N. S. ) 26 , 850-854 ( 1940 ) . 2 . 3 . 4 . 5 . 6 . 7 . 8 . 9 . 10 . 11 . 12 . Sur les propriétés du produit et de l'élément inverse dans les espaces semi- ordonnés linéaires . Doklady Akad . Nauk SSSR ( N. S. ) ...
Contents
A Settheoretic Preliminaries | 1 |
10 | 30 |
Three Basic Principles of Linear Analysis | 49 |
Copyright | |
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A₁ additive set function algebra analytic arbitrary B-space B₁ ba(S Banach Borel sets ca(S Cauchy sequence closed unit sphere compact Hausdorff space compact operator complex numbers conditionally compact contains continuous functions convex set Corollary countably additive DEFINITION denote dense E₁ element equation equivalent exists f₁ finite dimensional function defined function f Hausdorff space Hence Hilbert space homeomorphism implies inequality integral isometric isomorphism K₁ L₁ L₁(S Lebesgue measure Lemma Let f linear map linear operator linear topological space Math measurable functions measure space metric space neighborhood non-negative non-zero normed linear space o-field o-finite open set operator topology positive measure space properties proved real numbers reflexive Riesz S₁ scalar semi-group sequentially compact Show subset subspace Suppose theory TM(S topological space u-integrable u-measurable uniformly valued function weak topology weakly compact weakly sequentially compact X₁ zero ΕΕΣ