Order Projection of Linear Operators
Keywords:
order projection, Archimedean, ideal, Riesz spacesAbstract
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.
References
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.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 Manal Altaher Elzidani، Zieneb Ali Elshegmani
This work is licensed under a Creative Commons Attribution 4.0 International License.
