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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Page 2532
... Nauk SSSR 145 , 971-974 ( 1962 ) . ( Russian ) Math . Rev. 27 # 6147 , 1175 ( 1964 ) . 6 . The factorization problem for operator functions . Izv . Akad . Nauk SSSR Ser . Mat . 28 , 1055–1082 ( 1964 ) . ( Russian ) Math . Rev. 30 # 5182 ...
... Nauk SSSR 145 , 971-974 ( 1962 ) . ( Russian ) Math . Rev. 27 # 6147 , 1175 ( 1964 ) . 6 . The factorization problem for operator functions . Izv . Akad . Nauk SSSR Ser . Mat . 28 , 1055–1082 ( 1964 ) . ( Russian ) Math . Rev. 30 # 5182 ...
Page 2545
... Nauk SSSR 130 , 254-256 ( 1960 ) . ( Russian ) Math . Rev. 24 # A1024 , 189 ( 1962 ) . Soviet Math . Dokl . 1 , 38-40 ( 1960 ) . On perturbation determinants and a trace formula for unitary and selfadjoint operators . Doklady Akad . Nauk ...
... Nauk SSSR 130 , 254-256 ( 1960 ) . ( Russian ) Math . Rev. 24 # A1024 , 189 ( 1962 ) . Soviet Math . Dokl . 1 , 38-40 ( 1960 ) . On perturbation determinants and a trace formula for unitary and selfadjoint operators . Doklady Akad . Nauk ...
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 |
The Spectrum of a Spectral Operator | 1955 |
The Algebras A and | 1966 |
Copyright | |
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A₁ Acad adjoint operator algebra of projections Amer analytic arbitrary B-algebra B-space 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 dense differential operator Dokl Doklady Akad eigenvalues elements equation exists formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis ibid identity inequality invariant subspaces inverse Krein L₁ Lemma locally convex spaces multiplicity Nauk SSSR nonselfadjoint norm normal operators operators in Hilbert perturbation Proc PROOF properties prove Pures Appl quasi-nilpotent resolution Russian satisfies scalar operator scalar type operator scalar type spectral Section semi-group sequence shows spectral measure spectral operator spectral theory spectrum subset Suppose topology trace class type spectral operator unbounded uniformly bounded vector zero