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 762
... equations in Hilbert spaces . Soobščeniya Akad . Nauk Gruzin . SSR 13 , 65-72 ( 1952 ) . ( Russian ) Math . Rev. 14 ... equation . Amer . J. Math . 71 , 915-920 ( 1949 ) . The number of L - solutions of x ' ' + q ( t ) x 0. Amer . J ...
... equations in Hilbert spaces . Soobščeniya Akad . Nauk Gruzin . SSR 13 , 65-72 ( 1952 ) . ( Russian ) Math . Rev. 14 ... equation . Amer . J. Math . 71 , 915-920 ( 1949 ) . The number of L - solutions of x ' ' + q ( t ) x 0. Amer . J ...
Page 779
... equation with small quantum numbers . Phys . Rev. 75 , 1573–1578 ( 1949 ) . The expansion problem in the theory of ... equation . Proc . Nat . Acad . Sci . U.S.A. 35 , 190-193 ( 1949 ) . On self - adjoint differential equations of the ...
... equation with small quantum numbers . Phys . Rev. 75 , 1573–1578 ( 1949 ) . The expansion problem in the theory of ... equation . Proc . Nat . Acad . Sci . U.S.A. 35 , 190-193 ( 1949 ) . On self - adjoint differential equations of the ...
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