Linear Operators: General theory |
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Page 743
... boundary conditions . Trans . Amer . Math . Soc . 45 , 369-442 ( 1939 ) . Two sided ideals and congruences in the ring of bounded operators in Hilbert space . Ann . of Math . ( 2 ) 42 , 839-873 ( 1941 ) . 3. Symmetric transformations in ...
... boundary conditions . Trans . Amer . Math . Soc . 45 , 369-442 ( 1939 ) . Two sided ideals and congruences in the ring of bounded operators in Hilbert space . Ann . of Math . ( 2 ) 42 , 839-873 ( 1941 ) . 3. Symmetric transformations in ...
Page 752
... boundary conditions . Comm . Pure Appl . Math . 8 , 203-216 ( 1955 ) . Fenchel , W. ( see Bonnesen , T. ) Feynman , R. P. 1. Space - time approach to non - relativistic quantum mechanics . Rev. Mod . Phys . 20 , no . 2 , 367-387 ( 1948 ) ...
... boundary conditions . Comm . Pure Appl . Math . 8 , 203-216 ( 1955 ) . Fenchel , W. ( see Bonnesen , T. ) Feynman , R. P. 1. Space - time approach to non - relativistic quantum mechanics . Rev. Mod . Phys . 20 , no . 2 , 367-387 ( 1948 ) ...
Page 818
... boundary conditions . Doklady Akad . Nauk SSSR ( N. S. ) 65 , 433–436 ( 1949 ) . ( Russian ) Math . Rev. 11 , 38-39 ( 1950 ) . 2 . 3 . 4 . On linear boundary problems for differential equations . Doklady Akad . Nauk SSSR ( N. S. ) 65 ...
... boundary conditions . Doklady Akad . Nauk SSSR ( N. S. ) 65 , 433–436 ( 1949 ) . ( Russian ) Math . Rev. 11 , 38-39 ( 1950 ) . 2 . 3 . 4 . On linear boundary problems for differential equations . Doklady Akad . Nauk SSSR ( N. S. ) 65 ...
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