Approximation by interpolation spectral subspaces of operators with discrete spectrum

DOI10.30970/MS.55.2.162-170zbMath1495.47013OpenAlexW3175440568MaRDI QIDQ2049579

M. I. Dmytryshyn

Publication date: 27 August 2021

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30970/ms.55.2.162-170

zbMATH Keywords

spectral approximationoperator with discrete spectrumexact errors estimates

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operator approximation theory (47A58) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Elliptic operators and their generalizations (47F10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Direct and inverse theorems on the approximation of \(2\pi\)-periodic functions by Taylor-Abel-Poisson operators
• On spectral approximations of unbounded operators
• Bernstein-Jackson-type inequalities and Besov spaces associated with unbounded operators
• Interpolation of normed Abelian groups
• On the best approximations and rate of convergence of decompositions in the root vectors of an operator
• Exact constants in direct and inverse approximation theorems for functions of several variables in the spaces Sp
• Approximation of positive operators by analytic vectors
• Spectral approximations of strongly degenerate elliptic differential operators
• INTERPOLATION OF HILBERT AND SOBOLEV SPACES: QUANTITATIVE ESTIMATES AND COUNTEREXAMPLES
• Direct and Inverse Theorems in the Theory of Approximation by the Ritz Method

This page was built for publication: Approximation by interpolation spectral subspaces of operators with discrete spectrum