Polynomial interpolation of operators
In the present paper the authors deal with polynomial interpolation in Hilbert spaces. They construct smoothing functional polynomials of the \(n\)th degree and smoothing operator polynomials of the \(n\)th degree in certain Hilbert spaces of functionals and operators, respectively. Further they give necessary and sufficient conditions for the solvability of the problem of polynomial operator interpolation. Referee's remark: In the introduction the authors mention that their paper consists of three chapters and summarize the results stated in all these chapters. But they do not indicate that the chapters will be published separately. However the present English translation of the paper contains only the first chapter.
scientific article; zbMATH DE number 1082071