Linear Operators: Spectral operators |
From inside the book
Results 1-3 of 72
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 |
Spectral Operators | 1925 |
Terminology and Preliminary Notions | 1928 |
Copyright | |
36 other sections not shown
Other editions - View all
Common terms and phrases
A₁ adjoint operator algebra of projections Amer analytic arbitrary B-algebra B*-algebra B₁ Banach space Boolean algebra Borel sets boundary conditions bounded Borel function bounded linear operator bounded operator closed operator commuting compact complex numbers complex plane converges Corollary countably additive Definition denote dense differential operator Doklady Akad domain eigenvalues elements equation exists finite number follows from Lemma follows from Theorem formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis identity inequality integral invariant inverse L₁ Lebesgue Lemma Math multiplicity Nauk SSSR norm operators in Hilbert perturbation polynomial PROOF properties prove quasi-nilpotent resolution Russian S₁ satisfies scalar type operator scalar type spectral Section sequence shows spectral measure spectral operator spectral theory spectrum subset subspace Suppose trace class type spectral operator unbounded uniformly bounded unique vector zero