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 75
Page 1917
... perturbed operator T and its perturbation TTP , that is , to show the existence of an operator U such that UTU1T ' . This equation may be recast to permit the application of perturbation methods ; the whole approach has the fundamental ...
... perturbed operator T and its perturbation TTP , that is , to show the existence of an operator U such that UTU1T ' . This equation may be recast to permit the application of perturbation methods ; the whole approach has the fundamental ...
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 - θα ( 2 a 2 11 .. + V ( X1 , X2 , X3 ) + V ( X4 , X5 , X6 ) - - + V ...
... 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 - θα ( 2 a 2 11 .. + V ( X1 , X2 , X3 ) + V ( X4 , X5 , X6 ) - - + V ...
Page 2510
... perturbation theory . A lively and enlightening survey of spectral perturbation theory from the hand of Friedrichs himself is available to us in K. O. Friedrichs [ 17 ] . Friedrichs ' monograph contains , among other things , an ...
... perturbation theory . A lively and enlightening survey of spectral perturbation theory from the hand of Friedrichs himself is available to us in K. O. Friedrichs [ 17 ] . Friedrichs ' monograph contains , among other things , an ...
Contents
SPECTRAL OPERATORS | 1924 |
The Resolvent of a Spectral Operator | 1935 |
An Operational Calculus for Bounded Spectral | 1941 |
Copyright | |
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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 linear operator bounded operator closed operator commuting compact complex numbers complex plane converges Corollary countably additive Definition denote dense differential operator Doklady Akad domain E₁ 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