Linear Operators: Spectral operators |
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Page 2520
... ( Russian ) Math . Rev. 21 # 7438 , 1380 ( 1960 ) . 2. Triangular representation of some operators with completely continuous imag- inary part . Doklady Akad . Nauk SSSR 133 , 1271-1274 ( 1960 ) . ( Russian ) Math . Rev. 26 # 6778 , 1285 ...
... ( Russian ) Math . Rev. 21 # 7438 , 1380 ( 1960 ) . 2. Triangular representation of some operators with completely continuous imag- inary part . Doklady Akad . Nauk SSSR 133 , 1271-1274 ( 1960 ) . ( Russian ) Math . Rev. 26 # 6778 , 1285 ...
Page 2549
... ( Russian ) Math . Rev. 33 # 4680 , 792 ( 1967 ) . 6. Expansion in characteristic functions of a non - selfadjoint differential operator with spectral singularities . Doklady Akad . Nauk SSSR 149 , 256-259 ( 1963 ) . ( Russian ) Soviet ...
... ( Russian ) Math . Rev. 33 # 4680 , 792 ( 1967 ) . 6. Expansion in characteristic functions of a non - selfadjoint differential operator with spectral singularities . Doklady Akad . Nauk SSSR 149 , 256-259 ( 1963 ) . ( Russian ) Soviet ...
Page 2552
... ( Russian ) Math . Rev. 27 # 1837 , 361 ( 1964 ) . 2. Eigenvalues and singular values of the sum and product of linear operators . Uspehi Mat . Nauk 19 , no . 4 ( 118 ) , 93–123 ( 1964 ) . ( Russian ) Math . Rev. 29 # 6318 , 1184 ( 1965 ) ...
... ( Russian ) Math . Rev. 27 # 1837 , 361 ( 1964 ) . 2. Eigenvalues and singular values of the sum and product of linear operators . Uspehi Mat . Nauk 19 , no . 4 ( 118 ) , 93–123 ( 1964 ) . ( Russian ) Math . Rev. 29 # 6318 , 1184 ( 1965 ) ...
Contents
SPECTRAL OPERATORS | 1924 |
14 | 1983 |
Sufficient Conditions | 2134 |
Copyright | |
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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