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Page 776
... Akad . Vēstis 1950 no . 10 ( 39 ) , 93–106 ( 1950 ) . ( Russian . Latvian summary ) Math . Rev. 15 , 440 ( 1954 ) ... Akad . Nauk SSSR ( N. S. ) 56 , 559-561 ( 1947 ) . ( Russian ) Math . Rev. 9 , 242 ( 1948 ) . On the extension of ...
... Akad . Vēstis 1950 no . 10 ( 39 ) , 93–106 ( 1950 ) . ( Russian . Latvian summary ) Math . Rev. 15 , 440 ( 1954 ) ... Akad . Nauk SSSR ( N. S. ) 56 , 559-561 ( 1947 ) . ( Russian ) Math . Rev. 9 , 242 ( 1948 ) . On the extension of ...
Page 781
... Akad . Nauk SSSR ( N. S. ) 73 , 651-654 ( 1950 ) . ( Russian ) Math . Rev. 12 , 502 ( 1951 ) . 5 . 6 . 7 . On a theorem of H. Weyl . Doklady Akad . Nauk SSSR ( N. S. ) 82 , 673–676 ( 1952 ) . ( Russian ) Math . Rev. 13 , 844 ( 1952 ) ...
... Akad . Nauk SSSR ( N. S. ) 73 , 651-654 ( 1950 ) . ( Russian ) Math . Rev. 12 , 502 ( 1951 ) . 5 . 6 . 7 . On a theorem of H. Weyl . Doklady Akad . Nauk SSSR ( N. S. ) 82 , 673–676 ( 1952 ) . ( Russian ) Math . Rev. 13 , 844 ( 1952 ) ...
Page 819
... Akad . Nauk SSSR ( N. S. ) 26 , 855–859 ( 1940 ) . Linear spaces with given convergence . Leningrad State University ... Akad . Nauk SSSR ( N. S. ) 52 , 95-98 ( 1946 ) . Sur les opérations linéaires multiplicatives . Doklady Akad . Nauk ...
... Akad . Nauk SSSR ( N. S. ) 26 , 855–859 ( 1940 ) . Linear spaces with given convergence . Leningrad State University ... Akad . Nauk SSSR ( N. S. ) 52 , 95-98 ( 1946 ) . Sur les opérations linéaires multiplicatives . Doklady Akad . Nauk ...
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