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Page 564
... equation Ty where T is the matrix of Exercise 5 . a The next ten exercises refer to the stability theory of systems of n linear homogeneous differential equations , dy ( t ) / dt = A ( t ) y . Here A ( t ) = ( a ,, ( t ) ) is an nxn ...
... equation Ty where T is the matrix of Exercise 5 . a The next ten exercises refer to the stability theory of systems of n linear homogeneous differential equations , dy ( t ) / dt = A ( t ) y . Here A ( t ) = ( a ,, ( t ) ) is an nxn ...
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 ) ...
Page 763
... equation . Amer . J. Math . 71 , 206-213 ( 1949 ) . On the location of spectra of wave equations . Amer . J. Math.71 , 214–217 ( 1949 ) . On the Laplace - Fourier transcendents . Amer . J. Math . 71 , 367–372 ( 1949 ) . 10. Oscillatory ...
... equation . Amer . J. Math . 71 , 206-213 ( 1949 ) . On the location of spectra of wave equations . Amer . J. Math.71 , 214–217 ( 1949 ) . On the Laplace - Fourier transcendents . Amer . J. Math . 71 , 367–372 ( 1949 ) . 10. Oscillatory ...
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