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 610
... eigenvalues of an operator ; this is particularly true for self adjoint compact operators in Hilbert space . We refer the reader to the work of Aronszajn [ 3 , 4 ] and Collatz [ 1 ] for these questions . Also of considerable importance ...
... eigenvalues of an operator ; this is particularly true for self adjoint compact operators in Hilbert space . We refer the reader to the work of Aronszajn [ 3 , 4 ] and Collatz [ 1 ] for these questions . Also of considerable importance ...
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 ba(S Banach spaces Borel sets ca(S Cauchy sequence compact Hausdorff space compact operator complex numbers contains continuous functions converges convex set Corollary countably additive DEFINITION dense disjoint Doklady Akad E₁ element exists f₁ finite dimensional function defined function f g₁ Hausdorff space Hence Hilbert space homeomorphism implies inequality integral isometric isomorphism K₁ L₁ L₁(S Lebesgue Lemma Let f 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 S₁ scalar semi-group sequentially compact Show subset subspace Suppose theory topological space u-measurable uniformly weak topology weakly compact weakly sequentially compact zero ΕΕΣ