Linear Operators: Spectral operators |
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Page 1930
... domain contains at most a finite number of disjoint sets . Thus we are led to the following definition and corollary ... domain of E. t → 4 COROLLARY . If the domain of a countably 1930 XV.2.2 XV . SPECTRAL OPERATORS.
... domain contains at most a finite number of disjoint sets . Thus we are led to the following definition and corollary ... domain of E. t → 4 COROLLARY . If the domain of a countably 1930 XV.2.2 XV . SPECTRAL OPERATORS.
Page 2087
... domain ( p ) T ( 24 ) ( RN ) is the infinitesimal generator of a strongly continuous semi - group S ( t ) , t≥ 0 ... domain D ( D ) of the natural closed extension of D contains ( p ) T ( 24 ) ( RN ) and the operator A + D + B with ...
... domain ( p ) T ( 24 ) ( RN ) is the infinitesimal generator of a strongly continuous semi - group S ( t ) , t≥ 0 ... domain D ( D ) of the natural closed extension of D contains ( p ) T ( 24 ) ( RN ) and the operator A + D + B with ...
Page 2256
... domain D1 containing the union of o ( T ) and a neighborhood of infinity , C1 being oriented in the customary positive sense of complex variable theory . The curves C of the present lemma bound a finite domain D containing every point ...
... domain D1 containing the union of o ( T ) and a neighborhood of infinity , C1 being oriented in the customary positive sense of complex variable theory . The curves C of the present lemma bound a finite domain D containing every point ...
Contents
SPECTRAL OPERATORS | 1924 |
14 | 1983 |
Sufficient Conditions | 2134 |
Copyright | |
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A₁ adjoint operator algebra of projections Amer analytic arbitrary asymptotic B₁ Banach space Boolean algebra Borel set boundary conditions bounded Borel function bounded linear operator bounded operator commuting compact complete Boolean algebra complex numbers complex plane continuous functions converges Corollary countably additive Definition denote differential operator Doklady Akad domain E₁ eigenvalues elements equation exists finite number follows from Lemma follows from Theorem follows immediately formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis identity inequality inverse L₁ Lebesgue Math multiplicity Nauk SSSR norm operators in Hilbert perturbation PROOF properties prove quasi-nilpotent resolution Russian satisfies scalar type operator scalar type spectral Section sequence shows spectral measure spectral operator spectral theory spectrum subset Suppose trace class type spectral operator unbounded uniformly bounded vector zero