Linear Operators: Spectral operators |
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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 2377
... perturbation - theoretic methods . Quite typically , an operator of the form -V + V ( x ) is treated as a perturbation of the operators V ; an operator of the form --- მ 2 2 a 1 .. + V ( X1 , X2 , X3 ) + V ( X4 , X5 , X6 ) - + V ( X1 ...
... perturbation - theoretic methods . Quite typically , an operator of the form -V + V ( x ) is treated as a perturbation of the operators V ; an operator of the form --- მ 2 2 a 1 .. + V ( X1 , X2 , X3 ) + V ( X4 , X5 , X6 ) - + V ( X1 ...
Page 2529
... perturbation of some Volterra operators . Dissertation , Mass . Inst . of Tech . , 1963 . 2 . Perturbations of the shift operator . Trans . Amer . Math . Soc . 114 , 251-260 ( 1965 ) . 3. Volterra operators similar to J : f → §ƒ ( t ) ...
... perturbation of some Volterra operators . Dissertation , Mass . Inst . of Tech . , 1963 . 2 . Perturbations of the shift operator . Trans . Amer . Math . Soc . 114 , 251-260 ( 1965 ) . 3. Volterra operators similar to J : f → §ƒ ( t ) ...
Contents
SPECTRAL OPERATORS | 1924 |
Spectral Operators | 1925 |
Terminology and Preliminary Notions | 1928 |
Copyright | |
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A₁ algebra Amer analytic applications arbitrary B-space Banach Banach space Boolean algebra Borel sets boundary bounded Chapter clear closed commuting compact complex constant contains continuous converges Corollary corresponding defined Definition denote dense determined differential operator Doklady Akad elements equation equivalent established example exists extension finite follows formula function given gives H₁ Hence Hilbert space hypothesis identity integral invariant inverse Lemma limit linear operators Math multiplicity Nauk SSSR norm normal perturbation plane positive preceding present problem Proc projections PROOF properties prove range resolution resolvent restriction Russian satisfies scalar type sequence shown shows similar spectral measure spectral operator spectrum subset subspace sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector zero