CONVERGENCE OF INFINITE PRODUCTS OF NONEXPANSIVE OPERATORS IN HILBERT SPACE

被引：0

作者：

Pustylnik, Evgeniy ^{[1
]}

Reich, Simeon ^{[1
]}

Zaslavski, Alexander J. ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2010年 / 11卷 / 03期

基金：

以色列科学基金会;

关键词：

Fixed point; Hilbert space; infinite product; nonexpansive operator; orthogonal projection;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using angles between subspaces, we establish several convergence theorems regarding infinite products of orthogonal projections and nonexpansive operators in Hilbert space.

引用

页码：461 / 474

页数：14

共 19 条

[1]

Amemiya I., 1965, ACTA SCI MATH SZEGED, V26, P239

[2]

BROWDER FE, 1958, J MATH MECH, V7, P69

[3]

Deutsch FR., 2012, Best Approximation in Inner Product Spaces

[4]

Dixmier J., 1949, Bull. Soc. Math. France, V77, P11

[5] RANDOM PRODUCTS OF CONTRACTIONS IN BANACH-SPACES [J].

DYE, J ;

KHAMSI, MA ;

REICH, S .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 325 (01) :87-99

[6] ON THE UNRESTRICTED ITERATION OF PROJECTIONS IN HILBERT-SPACE [J].

DYE, JM ;

REICH, S .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 156 (01) :101-119

[7] On certain inequalities and characteristic value problems for analytic functions and for functions of two variables [J].

Friedrichs, Kurt .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1937, 41 (1-3) :321-364

[8]

Galantai A., 2004, PROJECTORS PROJECTIO, DOI 10.1007/978-1-4419-9180-5

[9]

Goebel K, 1984, Uniform convexity, hyperbolic geometry, and non-expansive mappings

[10]

GUNAWAN H, 2005, BEITR ALGEBRA GEOM, V46, P311

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