Linear Operators: General theory |
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Page 743
... Amer . J. Math . 78 , 310-320 ( 1956 ) . Calkin , J. W. 1 . 2 . Abstract symmetric boundary conditions . Trans . Amer . Math . Soc . 45 , 369-442 ( 1939 ) . Two sided ideals and congruences in the ring of bounded operators in Hilbert ...
... Amer . J. Math . 78 , 310-320 ( 1956 ) . Calkin , J. W. 1 . 2 . Abstract symmetric boundary conditions . Trans . Amer . Math . Soc . 45 , 369-442 ( 1939 ) . Two sided ideals and congruences in the ring of bounded operators in Hilbert ...
Page 762
... Amer . Math . Soc . 39 , 397-400 ( 1933 ) . Harazov , D. F. 1 . 2 . 3 . On a class of linear equations in Hilbert ... Amer . J. Math . 69 , 193–199 ( 1947 ) . On the essential spectra of symmetric operators in Hilbert space . Amer . J ...
... Amer . Math . Soc . 39 , 397-400 ( 1933 ) . Harazov , D. F. 1 . 2 . 3 . On a class of linear equations in Hilbert ... Amer . J. Math . 69 , 193–199 ( 1947 ) . On the essential spectra of symmetric operators in Hilbert space . Amer . J ...
Page 763
... Amer . J. Math . 76 , 831-838 ( 1954 ) . Hartman , P. , and Putnam , C. 1. The least cluster point of the spectrum of boundary value problems . Amer . J. Math . 70 , 847-855 ( 1948 ) . 2. The gaps in the essential spectra of wave ...
... Amer . J. Math . 76 , 831-838 ( 1954 ) . Hartman , P. , and Putnam , C. 1. The least cluster point of the spectrum of boundary value problems . Amer . J. Math . 70 , 847-855 ( 1948 ) . 2. The gaps in the essential spectra of wave ...
Contents
A Settheoretic Preliminaries | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
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A₁ Acad additive set function algebra Amer analytic arbitrary B-space ba(S Banach spaces Borel sets ca(S Cauchy sequence compact Hausdorff space compact operator complex numbers contains continuous functions continuous linear converges convex set Corollary countably additive DEFINITION disjoint Doklady Akad E₁ element exists f₁ finite dimensional function defined function f Hausdorff space Hence Hilbert space integral isometric isomorphism K₁ L₁ L₁(S Lebesgue Lemma Let f linear functional linear manifold linear map linear operator linear topological space measurable functions measure space metric space Nauk SSSR N. S. neighborhood non-negative o-field o-finite open set operator topology positive measure space Proc PROOF properties proved real numbers reflexive Riesz Russian 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