Global solutions of approximation problems in Hilbert spaces

被引：2

作者：

Contino, M. ^{[1
,2
]}

Di Iorio y Lucero, M. E. ^{[1
]}

Fongic, G. ^{[3
]}

机构：

[1] Consejo Nacl Invest Cient & Tecn, Inst Argentino Matemat Alberto Calderon, Saavedra 15,Piso 3, RA-1083 Buenos Aires, DF, Argentina

[2] Univ Buenos Aires, Fac Ingn, Buenos Aires, DF, Argentina

[3] Consejo Nacl Invest Cient & Tecn, Ctr Franco Argentino Ciencias Informac & Sistemas, Rosario, Santa Fe, Argentina

来源：

LINEAR & MULTILINEAR ALGEBRA | 2021年 / 69卷 / 13期

关键词：

Abstract spline problems; Schatten p classes; optimal inverses; GENERALIZED INVERSES; OBLIQUE PROJECTIONS; CONVERGENCE; RECONSTRUCTION;

D O I：

10.1080/03081087.2019.1681929

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study three well-known minimization problems in Hilbert spaces: the weighted least squares problem and the related problems of abstract splines and smoothing. In each case, we analyse the solvability of the problem for every point of the Hilbert space in the corresponding data set, the existence of an operator that maps each data point to its solution in a linear and continuous way, and the solvability of the associated operator problem in a fixed p-Schatten norm.

引用

页码：2510 / 2526

页数：17

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