Linear Operators: Spectral operators |
From inside the book
Results 1-3 of 73
Page 2005
... similar to normal operators . Thus both of the operators in ( 57 ) are scalar type operators , and for any a and b in A , they are similar to normal operators . In the case of the operators ( 55 ) and ( 58 ) the situation is somewhat ...
... similar to normal operators . Thus both of the operators in ( 57 ) are scalar type operators , and for any a and b in A , they are similar to normal operators . In the case of the operators ( 55 ) and ( 58 ) the situation is somewhat ...
Page 2413
... similar whenever || A || < ɛ . Q.E.D. Theorem 1 and its corollaries are readily generalized to apply to unbounded ... similar to T. ( 52 ) PROOF . By Lemma VII.3.4 , the equation B- ( B , A1 ) A1 = has a solution Be A , whose norm , by ...
... similar whenever || A || < ɛ . Q.E.D. Theorem 1 and its corollaries are readily generalized to apply to unbounded ... similar to T. ( 52 ) PROOF . By Lemma VII.3.4 , the equation B- ( B , A1 ) A1 = has a solution Be A , whose norm , by ...
Page 2447
... similar to J , so that G is similar to cJ . Q.E.D. 3. The Friedrichs ' Method for the Discrete Spectrum The XX.2.24 2447 FRIEDRICHS ' METHOD OF SIMILAR OPERATORS.
... similar to J , so that G is similar to cJ . Q.E.D. 3. The Friedrichs ' Method for the Discrete Spectrum The XX.2.24 2447 FRIEDRICHS ' METHOD OF SIMILAR OPERATORS.
Contents
SPECTRAL OPERATORS | 1924 |
14 | 1983 |
Sufficient Conditions | 2134 |
Copyright | |
20 other sections not shown
Other editions - View all
Common terms and phrases
A₁ adjoint operator algebra of projections Amer analytic arbitrary asymptotic B₁ Banach space Boolean algebra Borel set boundary conditions bounded Borel function bounded linear operator bounded operator commuting compact complete Boolean algebra complex numbers complex plane continuous functions converges Corollary countably additive Definition denote differential operator Doklady Akad domain E₁ eigenvalues elements equation exists finite number follows from Lemma follows from Theorem follows immediately formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis identity inequality inverse L₁ Lebesgue Math multiplicity Nauk SSSR norm operators in Hilbert perturbation PROOF properties prove quasi-nilpotent resolution Russian satisfies scalar type operator scalar type spectral Section sequence shows spectral measure spectral operator spectral theory spectrum subset Suppose trace class type spectral operator unbounded uniformly bounded vector zero