B-SPLINE INTERPOLATION PROBLEM IN HILBERT C* -MODULES

被引：0

作者：

Eskandari, Rasoul ^{[1
]}

Frank, Michael ^{[2
]}

Manuilov, Vladimir M. ^{[3
,4
]}

Moslehian, Mohammad Sal ^{[5
]}

机构：

[1] Farhangian Univ, Fac Sci, Dept Math, Tehran, Iran

[2] Hsch Tech Wirtschaft & Kultur HTWK Leipzig, Fak Informat & Med, PF 301166, D-04251 Leipzig, Germany

[3] Moscow MV Lomonosov State Univ, Moscow Ctr Fundamental & Appl Math, Moscow 119991, Russia

[4] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 119991, Russia

[5] Ferdowsi Univ Mashhad, Dept Pure Math, Ctr Excellence Anal Algebra Struct CEAAS, POB 1159, Mashhad 91775, Razavi Khorasan, Iran

来源：

JOURNAL OF OPERATOR THEORY | 2021年 / 86卷 / 02期

关键词：

B-Spline interpolation problem; Hilbert C*-module; self-duality; orthogonal; complement;

D O I：

10.7900/jot.2020apr17.2281

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the B-spline interpolation problem corresponding to a C* -valued sesquilinear form on a Hilbert C* -module and study its basic properties as well as the uniqueness of solution. We first study the problem in the case when the Hilbert C*-module is self-dual. Passing to the setting of Hilbert W*-modules, we present our main result by characterizing when the spline interpolation problem for the extended C*-valued sesquilinear form has a solution. Finally, solutions of the B-spline interpolation problem for Hilbert C* -modules over C* -ideals of W * -algebras are extensively discussed.

引用

页码：275 / 298

页数：24

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