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Page 777
... index of an unbounded operator . Mat . Sbornik N. S. 30 ( 72 ) , 219-224 ( 1952 ) . ( Russian ) Math . Rev. 13 , 849 ... deficiency indices of linear operators in Banach spaces and some geometrical questions . Sbornik Trudov Inst . Akad ...
... index of an unbounded operator . Mat . Sbornik N. S. 30 ( 72 ) , 219-224 ( 1952 ) . ( Russian ) Math . Rev. 13 , 849 ... deficiency indices of linear operators in Banach spaces and some geometrical questions . Sbornik Trudov Inst . Akad ...
Page 782
... deficiency indices , quasi - unitary operators . Mat . Sbornik N. S. 26 ( 68 ) , 247-264 ( 1950 ) . ( Russian ) Math . Rev. 11 , 669 ( 1950 ) . On the reduction of a linear non - Hermitian operator to " triangular " form . Doklady Akad ...
... deficiency indices , quasi - unitary operators . Mat . Sbornik N. S. 26 ( 68 ) , 247-264 ( 1950 ) . ( Russian ) Math . Rev. 11 , 669 ( 1950 ) . On the reduction of a linear non - Hermitian operator to " triangular " form . Doklady Akad ...
Page 793
... deficiency index of linear differential operators . Doklady Akad . Nauk SSSR ( N. S. ) 82 , 517-520 ( 1952 ) . ( Russian ) Math . Rev. 14 , 277 ( 1953 ) . 5. Linear differential operators . Gosudarstr . Izdat . Tehn . - Teo . Lit ...
... deficiency index of linear differential operators . Doklady Akad . Nauk SSSR ( N. S. ) 82 , 517-520 ( 1952 ) . ( Russian ) Math . Rev. 14 , 277 ( 1953 ) . 5. Linear differential operators . Gosudarstr . Izdat . Tehn . - Teo . Lit ...
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