Title : ( B-spline interpolation problem in Hilbert C*-modules )
Authors: R. Eskandari , Michael Frank , Vladimir Manuilov , Mohammad Sal Moslehian ,
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Abstract
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 in- terpolation problem for Hilbert C ̊-modules over C ̊-ideals of W ̊-algebras are extensively discussed.
Keywords
, B-Spline interpolation problem, Hilbert C ̊-module, self-duality, orthogonal complement
@article{paperid:1086874,
author = {R. Eskandari and Michael Frank and Vladimir Manuilov and Sal Moslehian, Mohammad},
title = {B-spline interpolation problem in Hilbert C*-modules},
journal = {Journal of Operator Theory},
year = {2021},
volume = {86},
number = {2},
month = {September},
issn = {0379-4024},
pages = {275--298},
numpages = {23},
keywords = {B-Spline interpolation problem; Hilbert C ̊-module; self-duality; orthogonal complement},
}
%0 Journal Article
%T B-spline interpolation problem in Hilbert C*-modules
%A R. Eskandari
%A Michael Frank
%A Vladimir Manuilov
%A Sal Moslehian, Mohammad
%J Journal of Operator Theory
%@ 0379-4024
%D 2021
