Linear Operators: Part III: Spectral Operators [by] Nelson Dunford and Jacob T. Schwartz, with the Assistance of William G. Bade and Robert G. Bartle, Volume 1 |
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Results 1-3 of 76
Page 1917
... perturbed operator T and its perturbation TTP , that is , to show the existence of an operator U such that UTU - 1 T ' . = This equation may be recast to permit the application of perturbation methods ; the whole approach has the ...
... perturbed operator T and its perturbation TTP , that is , to show the existence of an operator U such that UTU - 1 T ' . = This equation may be recast to permit the application of perturbation methods ; the whole approach has the ...
Page 2291
... Perturbation Theorem In this section we shall study perturbations of an operator whose resolvent is compact . The principal result gives conditions under which such an operator , if spectral , remains spectral after a perturbation . The ...
... Perturbation Theorem In this section we shall study perturbations of an operator whose resolvent is compact . The principal result gives conditions under which such an operator , if spectral , remains spectral after a perturbation . The ...
Page 2546
... Perturbation of continuous spectra by unbounded operators , I , II . I. J. Math . Soc . Japan 11 , 246–262 ( 1959 ) . II . ibid . 12 , 243-257 ( 1960 ) . 4. On a generalization of the Weinstein - Aronszajn formula and the infinite deter ...
... Perturbation of continuous spectra by unbounded operators , I , II . I. J. Math . Soc . Japan 11 , 246–262 ( 1959 ) . II . ibid . 12 , 243-257 ( 1960 ) . 4. On a generalization of the Weinstein - Aronszajn formula and the infinite deter ...
Contents
SPECTRAL OPERATORS | 1924 |
The Spectrum of a Spectral Operator | 1955 |
The Algebras A and | 1966 |
Copyright | |
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A₁ Acad adjoint operator algebra of projections Amer analytic arbitrary B-algebra B-space B*-algebra B₁ Banach space Boolean algebra Borel sets boundary conditions bounded linear operator bounded operator closed operator commuting compact complex numbers complex plane converges Corollary countably additive Definition dense differential operator Dokl Doklady Akad eigenvalues elements equation exists formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis ibid identity inequality invariant subspaces inverse Krein L₁ Lemma locally convex spaces multiplicity Nauk SSSR nonselfadjoint norm normal operators operators in Hilbert perturbation Proc PROOF properties prove Pures Appl quasi-nilpotent resolution Russian satisfies scalar operator scalar type operator scalar type spectral Section semi-group sequence shows spectral measure spectral operator spectral theory spectrum subset Suppose topology trace class type spectral operator unbounded uniformly bounded vector zero