Linear Operators: Spectral operators |
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Page 1917
... perturbed operator T and its perturbation T " T + P , 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 T " T + P , 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 : ƒ → 5 % 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 : ƒ → 5 % ƒ ( t ) ...
Contents
SPECTRAL OPERATORS | 1924 |
Introduction | 1927 |
Relations Between a Spectral Operator and Its Scalar | 1950 |
Copyright | |
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Common terms and phrases
A₁ adjoint operator algebra of projections Amer arbitrary B*-algebra B₁ Boolean algebra Borel sets boundary conditions bounded linear operator bounded operator closed operator Colojoară commuting compact complex numbers complex plane contains converges Corollary countably additive Definition dense differential operator disjoint Doklady Akad E-measurable eigenvalues elements equation equivalent exists Foias follows from Theorem formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis identity inequality integral invariant inverse L₁ Lebesgue Lemma Math matrix multiplicity norm operators in Hilbert perturbation polynomial PROOF proved quasi-nilpotent resolution restriction Russian S₁ satisfies scalar operator scalar type operator scalar type spectral Section semi-group sequence shows spectral measure spectral operator spectral theory spectrum strong operator topology subset subspace sufficiently type spectral operator unbounded unique vector weakly complete zero