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 |
Introduction | 1927 |
Relations Between a Spectral Operator and Its Scalar | 1950 |
Copyright | |
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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