Entropy Numbers of Weighted Shifts
Copyright policy )Entropy Numbers of Weighted Shifts
A lower bound of the entropy numbers for powers of weighted shift operators on \(\ell_p\) space \((1\leq p\leq\infty)\) is established. As an application of proven results, the two operator ideals \(E^{(e)}_q(\ell_p,\ell_p)\) and \(S^{(s)}_q(\ell_p,\ell_p)\) are identical for \(q\in (0,\infty)\).
- Ain Shams University Egypt
entropy numbers, shift operators, entropy numbers and s numbers of operators, Applied Mathematics, \(s\) numbers of operators, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.), Operator ideals, powers of weighted shift operators, lower bound of the entropy numbers, Analysis, Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators, operator ideals
entropy numbers, shift operators, entropy numbers and s numbers of operators, Applied Mathematics, \(s\) numbers of operators, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.), Operator ideals, powers of weighted shift operators, lower bound of the entropy numbers, Analysis, Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators, operator ideals
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