On the Generality of Orthogonal Projections and e-Projections in Banach Algebras

作     者：Mohammad Sadegh Asgari Seyedeh Sara Karimizad Hamidreza Rahimi 

作者机构：Department of Mathematics Faculty of Science Islamic Azad University Central Tehran Branch Tehran Iran 

出 版 物：《Advances in Pure Mathematics》 (理论数学进展（英文）)

年 卷 期：2012年第2卷第5期

页      码：318-322页

摘      要：In this paper we develop the orthogonal projections and e-projections in Banach algebras. We prove some necessary and sufficient conditions for them and their spectrums. We also show that the sum of two generalized orthogonal projections u and v is a generalized orthogonal projection if, uv=vu=0. Our results generalize the results obtained for bounded linear operators on Hilbert spaces.

主 题 词：Generalized Orthogonal Projection Orthogonal Projection Generalized e-Projection e-Projection 

学科分类：07[理学] 0701[理学-数学类] 070101[070101] 

D　O　I：10.4236/apm.2012.25044

馆 藏 号：203774127...