Linear Operators: Spectral operators |
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Page 2548
... ( Russian ) Math . Rev. 18 , 35 ( 1957 ) . Leżański , T. 1. The Fredholm theory of linear equations in Banach spaces . Studia Math . 13 , 244-276 ( 1953 ) . Lidskii , V. B. 1. Conditions for completeness of a system of root subspaces for ...
... ( Russian ) Math . Rev. 18 , 35 ( 1957 ) . Leżański , T. 1. The Fredholm theory of linear equations in Banach spaces . Studia Math . 13 , 244-276 ( 1953 ) . Lidskii , V. B. 1. Conditions for completeness of a system of root subspaces for ...
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 |
Spectral Operators | 1925 |
Terminology and Preliminary Notions | 1928 |
Copyright | |
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A₁ algebra Amer analytic applications arbitrary B-space Banach Banach space Boolean algebra Borel sets boundary bounded Chapter clear closed commuting compact complex constant contains continuous converges Corollary corresponding defined Definition denote dense determined differential operator Doklady Akad elements equation equivalent established example exists extension finite follows formula function given gives H₁ Hence Hilbert space hypothesis identity integral invariant inverse Lemma limit linear operators Math multiplicity Nauk SSSR norm normal perturbation plane positive preceding present problem Proc projections PROOF properties prove range resolution resolvent restriction Russian satisfies scalar type sequence shown shows similar spectral measure spectral operator spectrum subset subspace sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector zero