Korovkin-Type Results on Convergence of Sequences of Positive Linear Maps on Function Spaces

被引：0

作者：

Hosseini, Maliheh ^{[1
]}

Font, Juan J. ^{[2
]}

机构：

[1] KN Toosi Univ Technol, Dept Math, Tehran 163151618, Iran

[2] Univ Jaume 1, Dept Matemat, Campus Riu Sec,8029 AP, Castellon de La Plana, Spain

来源：

CONSTRUCTIVE APPROXIMATION | 2020年 / 52卷 / 03期

关键词：

Function space; Korovkin's theorem; Choquet boundary; Positive linear map; Primary; 41A36; Secondary; 46E15; ISOMETRIES; SUBSPACES;

D O I：

10.1007/s00365-019-09485-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we deal with the convergence of sequences of positive linear maps to a (not assumed to be linear) isometry on spaces of continuous functions. We obtain generalizations of known Korovkin-type results and provide several illustrative examples.

引用

页码：423 / 432

页数：10

共 3 条

[1] Korovkin-Type Results on Convergence of Sequences of Positive Linear Maps on Function Spaces
Maliheh Hosseini
Juan J. Font
Constructive Approximation, 2020, 52 : 423 - 432
[2] On some convergence criteria for nets of positive operators on continuous function spaces
Altomare, Francesco
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 398 (02) : 542 - 552
[3] Gruss type inequalities for positive linear maps on C*-algebras
Dadkhah, Ali
Moslehian, Mohammad Sal
LINEAR & MULTILINEAR ALGEBRA, 2017, 65 (07) : 1386 - 1401

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