Linear Operators, Part 2 |
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Page 2517
... Dokl . 3 , 408 ( 1962 ) . 2 . 3 . 4 . On a test for the existence of wave operators . Doklady Akad . Nauk SSSR 147 , 1008-1009 ( 1962 ) . ( Russian ) Math . Rev. 29 # 5107 , 963 ( 1965 ) . Soviet Math . Dokl . 3 , 1747 ( 1962 ) ...
... Dokl . 3 , 408 ( 1962 ) . 2 . 3 . 4 . On a test for the existence of wave operators . Doklady Akad . Nauk SSSR 147 , 1008-1009 ( 1962 ) . ( Russian ) Math . Rev. 29 # 5107 , 963 ( 1965 ) . Soviet Math . Dokl . 3 , 1747 ( 1962 ) ...
Page 2533
... Dokl . 5 , 1243-1245 ( 1964 ) . The d - characteristic of a linear operator . Doklady Akad . Nauk SSSR 165 , 476-478 ( 1965 ) . ( Russian ) Math . Rev. 32 # 6236 , 1067 ( 1966 ) . Soviet Math . Dokl . 6 , 1455-1457 ( 1965 ) ...
... Dokl . 5 , 1243-1245 ( 1964 ) . The d - characteristic of a linear operator . Doklady Akad . Nauk SSSR 165 , 476-478 ( 1965 ) . ( Russian ) Math . Rev. 32 # 6236 , 1067 ( 1966 ) . Soviet Math . Dokl . 6 , 1455-1457 ( 1965 ) ...
Page 2549
... Dokl . 7 , 27–30 ( 1966 ) . 8. Expansions in principal functions of an operator with spectral singularities . Rev ... Dokl . 9 , 1241-1244 ( 1968 ) . 10. On the perturbation of a continuous spectrum . Doklady Akad . Nauk SSSR 187 , 514 ...
... Dokl . 7 , 27–30 ( 1966 ) . 8. Expansions in principal functions of an operator with spectral singularities . Rev ... Dokl . 9 , 1241-1244 ( 1968 ) . 10. On the perturbation of a continuous spectrum . Doklady Akad . Nauk SSSR 187 , 514 ...
Contents
SPECTRAL OPERATORS | 1924 |
The Canonical Reduction of a Spectral Operator | 1939 |
Bounded Spectral Operators in Hilbert Space | 1947 |
Copyright | |
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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 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