Linear Operators: General theory |
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Page 564
... equation Y ' - Ty where T is the matrix of Exercise 5 . = The next ten exercises refer to the stability theory of ... equation dy / dt = A ( t ) Y where a solution is a nxn complex valued matrix Y ( t ) , differentiable and satisfying ...
... equation Y ' - Ty where T is the matrix of Exercise 5 . = The next ten exercises refer to the stability theory of ... equation dy / dt = A ( t ) Y where a solution is a nxn complex valued matrix Y ( t ) , differentiable and satisfying ...
Page 736
... equation of heat conduction . Doklady Akad . Nauk SSSR ( N. S. ) 72 , 667–670 ( 1950 ) . ( Russian ) Math . Rev. 12 , 183 ( 1951 ) . Bari ( Bary ) , N. K. 1. Biorthogonal systems and bases in Hilbert space . Moskov . Gos . Univ . Učenye ...
... equation of heat conduction . Doklady Akad . Nauk SSSR ( N. S. ) 72 , 667–670 ( 1950 ) . ( Russian ) Math . Rev. 12 , 183 ( 1951 ) . Bari ( Bary ) , N. K. 1. Biorthogonal systems and bases in Hilbert space . Moskov . Gos . Univ . Učenye ...
Page 762
... equations in Hilbert spaces . Soobščeniya Akad . Nauk Gruzin . SSR 13 , 65-72 ( 1952 ) . ( Russian ) Math . Rev. 14 , 990 ... equation . Amer . J. Math . 71 , 915-920 ( 1949 ) . 9 . The number of L - solutions of x ' ' + q ( t ) x ( 1951 ) ...
... equations in Hilbert spaces . Soobščeniya Akad . Nauk Gruzin . SSR 13 , 65-72 ( 1952 ) . ( Russian ) Math . Rev. 14 , 990 ... equation . Amer . J. Math . 71 , 915-920 ( 1949 ) . 9 . The number of L - solutions of x ' ' + q ( t ) x ( 1951 ) ...
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