Linear Operators: General theory |
From inside the book
Results 1-3 of 70
Page 564
... equation y ' = Ty where T is the matrix of Exercise 5 . 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 y ' = Ty where T is the matrix of Exercise 5 . 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 |
Copyright | |
31 other sections not shown
Other editions - View all
Common terms and phrases
A₁ Acad additive set function algebra Amer analytic arbitrary B-space B₁ ba(S Banach spaces Borel sets Cauchy sequence compact operator complex numbers contains continuous functions continuous linear converges convex set Corollary countably additive DEFINITION denote dense differential equations disjoint Doklady Akad domain E₁ element exists f₁ finite dimensional finite number function defined function f Hausdorff space Hence Hilbert space homeomorphism inequality integral L₁ L₁(S Lebesgue Lemma Let f linear functional linear map linear operator linear topological space measurable function measure space metric space Nauk SSSR N. S. neighborhood non-negative o-field open set operator topology positive measure space Proc PROOF proved real numbers Riesz Russian S₁ scalar semi-group sequentially compact Show spectral strong operator topology subset subspace Suppose T₁ theory topological space u-integrable u-measurable uniformly unit sphere valued function weakly compact zero ΕΕΣ