Order Projection of Linear Operators

Manal Altaher Elzidani; Zieneb Ali Elshegmani

Order Projection of Linear Operators

المؤلفون

Manal Altaher Elzidani 2Misurata University, Faculty of Education Misurata Libya
Zieneb Ali Elshegmani 2Misurata University, Faculty of Education Misurata Libya

الكلمات المفتاحية:

order projection، Archimedean، ideal، Riesz spaces

الملخص

Order (or band) projections are the most important subjects in functional analysis and its applications. This paper studies a special class of positive linear operator known as order projections, and provides some of its application which are; extension theorem for linear operators, theory of order continuous operators, and the components of positive operators. A useful comparison property of order projection is described.

المراجع

L. D. Carl, Functional analysis and Linear operator theory, Addisson Wesley publishing, Inc. 1990.

D. A. Charalambos, Positive Operators, Academics press, Inc.1985.

B. C. John, A course in functional analysis, second edition, Springer-verlag, New York, Inc. 1990.

D. Klaus, Extension of positive operators and Korovkin theorems, Springer-verlag, Berlin Heidelberg, New York, Inc. 1990.

E. Kreyszing, Introductory functional analysis with applications, John Wiley & sons, Inc. 1978.

A. M. Laura, C. Gustavo, and M. C. Gonzalez, Products of projections and positive operates, Linear Algebra and its Applications, (2013) 1730-1741.

D. Schott, Projection kernels of linear operators and convergence considerations, Rostock. Math, Kolloq.68 (2013) 13-43.

التنزيلات

منشور

2021-06-30

كيفية الاقتباس

Elzidani, M. A., & Elshegmani, Z. A. (2021). Order Projection of Linear Operators. مجلة البحوث الأكاديمية, 20, 11–16. استرجع في من https://lam-journal.ly/index.php/jar/article/view/394