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Approximation of unbounded functional, defined by grades of normal operator, on the class of elements of Hilbert space
2016
Researches in Mathematics
We obtain the best approximation of unbounded functional $(A^k x; f)$ on the class $\{ x\in D(A^r) \colon \| A^r x \| \leqslant 1 \}$ by linear bounded functionals for a normal operator $A$ in the Hilbert space $H$ ($k < r$, $f\in H$).
doi:10.15421/241601
fatcat:2zpm4anx5nhntdogqhyayobpl4