Abstract splines in Krein spaces

被引：5
作者：
Giribet, J. I. [1 ,2 ]
Maestripieri, A. [1 ,2 ]
Martinez Peria, F. [1 ,3 ]
机构：
[1] Consejo Nacl Invest Cient & Tecn, Inst Argentino Matemat Alberto Calderon, RA-1083 Buenos Aires, DF, Argentina
[2] FI UBA, Dept Matemat, RA-1083 Buenos Aires, DF, Argentina
[3] Natl Univ La Plata, Fac Ciencias Exactas, Dept Matemat, RA-1900 La Plata, Argentina
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 369卷 / 01期
关键词：
Krein spaces; Abstract splines; Oblique projections; ARC SPLINES; INTERPOLATION;
D O I：
10.1016/j.jmaa.2010.03.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present generalizations to Krein spaces of the abstract interpolation and smoothing problems proposed by Atteia in Hilbert spaces: given a Krein space K and Hilbert spaces H and epsilon (bounded) surjective operators T : H -> K and V : H - epsilon, rho > 0 and a fixed z(0) is an element of epsilon, we study the existence of solutions of the problems argmin {[Tx, Tx]K: Vx = z(0)} and argmin {[Tx, Tx]K + rho parallel to Vx - Z(0)parallel to(2)(epsilon) : x epsilon H} (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：423 / 436
页数：14
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