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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| Institution: | 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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| Keywords: | |
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