Linear Operators: General theory |
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Page 758
... ( Russian ) Math . Rev. 10 , 538 ( 1949 ) . On the spectrum of linear differential operators . Doklady Akad . Nauk SSSR ( N. S. ) 80 , 153–156 ( 1951 ) . ( Russian ) Math . Rev. 13 , 654 ( 1952 ) . 4. On the character of the spectra of ...
... ( Russian ) Math . Rev. 10 , 538 ( 1949 ) . On the spectrum of linear differential operators . Doklady Akad . Nauk SSSR ( N. S. ) 80 , 153–156 ( 1951 ) . ( Russian ) Math . Rev. 13 , 654 ( 1952 ) . 4. On the character of the spectra of ...
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
8 | 28 |
Algebraic Preliminaries | 34 |
Three Basic Principles of Linear Analysis | 49 |
Copyright | |
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A₁ additive set function algebra Amer analytic arbitrary B-space ba(S Banach Borel sets ca(S Cauchy sequence compact Hausdorff space compact operator complex numbers contains continuous functions converges convex set Corollary countably additive DEFINITION dense differential disjoint Doklady Akad E₁ element equation exists f₁ finite dimensional function defined function f Hausdorff space Hence Hilbert space homeomorphism implies inequality integral isometric isomorphism L₁ L₁(S Lebesgue Lemma Let f linear map linear operator linear topological space Math measurable functions measure space metric space Nauk SSSR N. S. neighborhood non-negative normed linear space o-field o-finite open set operator topology positive measure space Proc PROOF properties proved real numbers Riesz S₁ scalar semi-group sequentially compact Show subset subspace Suppose theory TM(S topological space u-integrable u-measurable uniformly weak topology weakly compact weakly sequentially compact zero ΕΕΣ