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Page 776
... ( Russian ) Math . Rev. 14 , 55 ( 1953 ) . Kramer , H. P. 1 . Perturbation of differential operators . Dissertation ... ( Russian ) Math . Rev. 13 , 47 ( 1952 ) . 2 . 3 . 4 . On self - adjoint extensions of Hermitian operators . Ukrain . Mat ...
... ( Russian ) Math . Rev. 14 , 55 ( 1953 ) . Kramer , H. P. 1 . Perturbation of differential operators . Dissertation ... ( Russian ) Math . Rev. 13 , 47 ( 1952 ) . 2 . 3 . 4 . On self - adjoint extensions of Hermitian operators . Ukrain . Mat ...
Page 781
... ( Russian ) Math . Rev. 11 , 720 ( 1950 ) . 4. Proof of the theorem on the expansion in eigenfunctions of self - adjoint differential operators . Doklady Akad . Nauk SSSR ( N. S. ) 73 , 651-654 ( 1950 ) . ( Russian ) Math . Rev. 12 , 502 ...
... ( Russian ) Math . Rev. 11 , 720 ( 1950 ) . 4. Proof of the theorem on the expansion in eigenfunctions of self - adjoint differential operators . Doklady Akad . Nauk SSSR ( N. S. ) 73 , 651-654 ( 1950 ) . ( Russian ) Math . Rev. 12 , 502 ...
Page 794
... ( Russian . English summary ) Math . Rev. 2 , 104 ( 1941 ) . 8. Spectral functions of a symmetric operator . Izvestiya Akad . Nauk SSSR ( N. S. ) 4 , 277-318 ( 1940 ) . ( Russian . English summary ) Math . Rev. 2 , 105 ( 1941 ) . 9. On ...
... ( Russian . English summary ) Math . Rev. 2 , 104 ( 1941 ) . 8. Spectral functions of a symmetric operator . Izvestiya Akad . Nauk SSSR ( N. S. ) 4 , 277-318 ( 1940 ) . ( Russian . English summary ) Math . Rev. 2 , 105 ( 1941 ) . 9. On ...
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