Linear Operators: Spectral operators |
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Page 2512
... Nauk SSSR 160 , 9-12 ( 1965 ) . ( Russian ) Math . Rev. 30 , # 5169 , 961 ( 1965 ) . 2. On scattering operators and contraction semi - groups in Hilbert space . Doklady Akad . Nauk SSSR 165 , 9-12 ( 1965 ) . ( Russian ) Math . Rev. 32 ...
... Nauk SSSR 160 , 9-12 ( 1965 ) . ( Russian ) Math . Rev. 30 , # 5169 , 961 ( 1965 ) . 2. On scattering operators and contraction semi - groups in Hilbert space . Doklady Akad . Nauk SSSR 165 , 9-12 ( 1965 ) . ( Russian ) Math . Rev. 32 ...
Page 2549
... Nauk SSSR 149 , 256-259 ( 1963 ) . ( Russian ) Soviet Math . Dokl . 4 , 363–366 ( 1963 ) . 7. The inverse problem for a nonselfadjoint operator . Doklady Akad . Nauk SSSR 166 , 30-33 ( 1966 ) . ( Russian ) Math . Rev. 33 # 4720 , 800 ...
... Nauk SSSR 149 , 256-259 ( 1963 ) . ( Russian ) Soviet Math . Dokl . 4 , 363–366 ( 1963 ) . 7. The inverse problem for a nonselfadjoint operator . Doklady Akad . Nauk SSSR 166 , 30-33 ( 1966 ) . ( Russian ) Math . Rev. 33 # 4720 , 800 ...
Page 2552
... Nauk SSSR 142 , 538–541 ( 1962 ) . ( 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 ) ...
... Nauk SSSR 142 , 538–541 ( 1962 ) . ( 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 ) ...
Contents
SPECTRAL OPERATORS | 1924 |
Introduction | 1927 |
Relations Between a Spectral Operator and Its Scalar | 1950 |
Copyright | |
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Common terms and phrases
A₁ adjoint operator algebra of projections Amer arbitrary B*-algebra B₁ Boolean algebra Borel sets boundary conditions bounded linear operator bounded operator closed operator Colojoară commuting compact complex numbers complex plane contains converges Corollary countably additive Definition dense differential operator disjoint Doklady Akad E-measurable eigenvalues elements equation equivalent exists Foias follows from Theorem formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis identity inequality integral invariant inverse L₁ Lebesgue Lemma Math matrix multiplicity norm operators in Hilbert perturbation polynomial PROOF proved quasi-nilpotent resolution restriction Russian S₁ satisfies scalar operator scalar type operator scalar type spectral Section semi-group sequence shows spectral measure spectral operator spectral theory spectrum strong operator topology subset subspace sufficiently type spectral operator unbounded unique vector weakly complete zero