Linear Operators: General theory |
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Page 385
... obtained some results when S is not required to be compact . Kadison [ 2 ] has obtained results of this nature for non - commutative C * -alge- bras . The preceding paragraph makes it appear that any reasonable topological or algebraic ...
... obtained some results when S is not required to be compact . Kadison [ 2 ] has obtained results of this nature for non - commutative C * -alge- bras . The preceding paragraph makes it appear that any reasonable topological or algebraic ...
Page 387
... obtained by taking the character group G 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 G 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
Exercises | 9 |
Definitions and Basic Properties | 13 |
Metric Spaces | 19 |
Copyright | |
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A₁ Acad additive set function algebra Amer analytic arbitrary B-space B₁ ba(S Banach spaces Borel sets Cauchy sequence closed sets compact Hausdorff space compact operator complex numbers contains continuous functions continuous linear converges convex set Corollary countably additive DEFINITION denote dense disjoint Doklady Akad E₁ elements ergodic exists f₁ finite number follows function defined function f Hausdorff space Hence Hilbert space homomorphism integral L₁ L₁(S Lebesgue Lemma Let f linear functional linear map linear operator linear topological space measurable functions measure space metric space Nauk SSSR N. S. neighborhood non-negative normed linear space 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 Theorem theory topological space u-integrable u-measurable u-null uniformly unit sphere vector space weakly compact zero ΕΕΣ