Linear Operators: General theory |
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Page 738
... expansion of the Green's function . Math . Ann . 72 , 292–294 ( 1912 ) . 7. Note on the expansion problems of ordinary linear ... adjoint extensions of positive definite operators . Doklady Akad . Nauk SSSR ( N. S. ) 91 , 189-191 ( 1953 ) ...
... expansion of the Green's function . Math . Ann . 72 , 292–294 ( 1912 ) . 7. Note on the expansion problems of ordinary linear ... adjoint extensions of positive definite operators . Doklady Akad . Nauk SSSR ( N. S. ) 91 , 189-191 ( 1953 ) ...
Page 777
... adjoint extensions of semi - bounded Hermitian operators and its applications , I , II . I. Mat . Sbornik N. S. 20 ( 62 ) , 431-495 ( 1947 ) . II . ibid . 21 ( 63 ) , 365–404 ( 1947 ) . ( Russian ) Math . Rev. 9 , 515–516 ( 1948 ) . Sur ...
... adjoint extensions of semi - bounded Hermitian operators and its applications , I , II . I. Mat . Sbornik N. S. 20 ( 62 ) , 431-495 ( 1947 ) . II . ibid . 21 ( 63 ) , 365–404 ( 1947 ) . ( Russian ) Math . Rev. 9 , 515–516 ( 1948 ) . Sur ...
Page 794
Nelson Dunford, Jacob T. Schwartz. 7. Self - adjoint extensions of the second kind of a symmetric operator . Izvestiya Akad . Nauk SSSR 4 , 53–104 ( 1940 ) . ( Russian . English summary ) Math . Rev. 2 , 104 ( 1941 ) . 8. Spectral ...
Nelson Dunford, Jacob T. Schwartz. 7. Self - adjoint extensions of the second kind of a symmetric operator . Izvestiya Akad . Nauk SSSR 4 , 53–104 ( 1940 ) . ( Russian . English summary ) Math . Rev. 2 , 104 ( 1941 ) . 8. Spectral ...
Contents
Preliminary Concepts | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
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A₁ Acad additive set function algebra Amer analytic arbitrary B-space B₁ ba(S Banach spaces Borel sets ca(S Cauchy sequence compact Hausdorff space compact operator complex numbers contains continuous functions converges convex set Corollary countably additive DEFINITION dense disjoint Doklady Akad E₁ element ergodic exists f₁ finite dimensional function defined function f Hausdorff space Hence Hilbert space homeomorphism implies inequality integral isometric isomorphism K₁ L₁ L₁(S Lebesgue Lemma Let f 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 S₁ scalar semi-group sequentially compact Show subset subspace Suppose theory topological space u-integrable u-measurable uniformly weak topology weakly compact weakly sequentially compact zero ΕΕΣ