Approximation of unbounded operators by bounded operators in a Hilbert space |
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Authors: | V. F. Babenko R. O. Bilichenko |
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Affiliation: | 1.Dnepropetrovsk National University,Dnepropetrovsk,Ukraine;2.Institute of Applied Mathematics and Mechanics,Ukrainian National Academy of Sciences,Donetsk,Ukraine |
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Abstract: | We determine the best approximation of an arbitrary power A k of an unbounded self-adjoint operator A in a Hilbert space H on the class {x ∈ D(A r ) : ∥A r x∥ ≤ 1}, k < r. |
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