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Page 731
... Trans . Amer . Math . Soc . 40 , 421-438 ( 1936 ) . Adams , C. R. , and Clarkson , J. A. 1. On definitions of bounded variation for functions of two variables . Trans . Amer . Math . Soc . 35 , 824-854 ( 1933 ) . 2 . 3 . 4 . Properties ...
... Trans . Amer . Math . Soc . 40 , 421-438 ( 1936 ) . Adams , C. R. , and Clarkson , J. A. 1. On definitions of bounded variation for functions of two variables . Trans . Amer . Math . Soc . 35 , 824-854 ( 1933 ) . 2 . 3 . 4 . Properties ...
Page 738
... Trans . Amer . Math . Soc . 9 , 373-395 ( 1908 ) . 4 . Existence and oscillation theorems for a certain boundary value problem . Trans . Amer . Math . Soc . 10 , 259-270 ( 1909 ) . 5. Quantum mechanics and asymptotic series . Bull ...
... Trans . Amer . Math . Soc . 9 , 373-395 ( 1908 ) . 4 . Existence and oscillation theorems for a certain boundary value problem . Trans . Amer . Math . Soc . 10 , 259-270 ( 1909 ) . 5. Quantum mechanics and asymptotic series . Bull ...
Page 783
... Trans . Amer . Math . Soc . 52 , 238-248 ( 1942 ) . The integral representation of weakly almost - periodic transformations in reflexive vector spaces . Trans . Amer . Math . Soc . 49 , 18-40 ( 1941 ) . Means of iterated transformations ...
... Trans . Amer . Math . Soc . 52 , 238-248 ( 1942 ) . The integral representation of weakly almost - periodic transformations in reflexive vector spaces . Trans . Amer . Math . Soc . 49 , 18-40 ( 1941 ) . Means of iterated transformations ...
Contents
A Settheoretic Preliminaries | 1 |
10 | 30 |
Three Basic Principles of Linear Analysis | 49 |
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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