Linear Operators: General theory |
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Page 607
... eigenvalues by means of the Lagrange interpolation formula . His method was generalized by Buchheim [ 1 ] for the case of multiple eigenvalues , although Buchheim did not express his result as in Theo- rem 1.8 . This form is found first ...
... eigenvalues by means of the Lagrange interpolation formula . His method was generalized by Buchheim [ 1 ] for the case of multiple eigenvalues , although Buchheim did not express his result as in Theo- rem 1.8 . This form is found first ...
Page 611
... eigenvalues of finite multiplicity with no limit points except possibly λ = 0. Further R contains any other ideal in B ( X ) whose operators have spectra of the nature just specified . In certain spaces , e.g. C or L1 , we have seen ...
... eigenvalues of finite multiplicity with no limit points except possibly λ = 0. Further R contains any other ideal in B ( X ) whose operators have spectra of the nature just specified . In certain spaces , e.g. C or L1 , we have seen ...
Page 821
... eigenvalues . Pacific J. Math . 2 , 413-418 ( 1952 ) . 2. Error estimation in the Weinstein method for eigenvalues . Proc . Amer . Math . Soc . 3 , 643-646 ( 1952 ) . 3 . An extension of the classical Sturm - Liouville theory . Duke ...
... eigenvalues . Pacific J. Math . 2 , 413-418 ( 1952 ) . 2. Error estimation in the Weinstein method for eigenvalues . Proc . Amer . Math . Soc . 3 , 643-646 ( 1952 ) . 3 . An extension of the classical Sturm - Liouville theory . Duke ...
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 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