Linear Operators: General theory |
From inside the book
Results 1-3 of 74
Page 45
... obtained by deleting the ith row and the jth column in ( a ,, ) . Expressed differ- ently , the cofactor of a ,, is obtained by replacing the element a ,, by 1 and all the other elements of the ith row and jth column by 0 and ...
... obtained by deleting the ith row and the jth column in ( a ,, ) . Expressed differ- ently , the cofactor of a ,, is obtained by replacing the element a ,, by 1 and all the other elements of the ith row and jth column by 0 and ...
Page 387
... obtained by taking the character group Ĝ of G , equipping & with its discrete topology , and then taking the ... obtained by Zaanen [ 1 , 5 ; p . 138 ] . In the case L , [ 0 , 1 ] , 1 < p < ∞ , Corollaries 8.3 and 8.4 were proved by F ...
... obtained by taking the character group Ĝ of G , equipping & with its discrete topology , and then taking the ... obtained by Zaanen [ 1 , 5 ; p . 138 ] . In the case L , [ 0 , 1 ] , 1 < p < ∞ , Corollaries 8.3 and 8.4 were proved by F ...
Page 607
... obtained expansions for the resolvent ( 21 - T ) -1 in the neighborhood of a pole . A special case of Theorem 1.9 is due to Weyr [ 1 ] , and in full generality it was proved by Hensel [ 1 ] . In regard to Theorem 1.10 , Frobenius [ 3 ...
... obtained expansions for the resolvent ( 21 - T ) -1 in the neighborhood of a pole . A special case of Theorem 1.9 is due to Weyr [ 1 ] , and in full generality it was proved by Hensel [ 1 ] . In regard to Theorem 1.10 , Frobenius [ 3 ...
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 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