数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (5): 1387-1397.doi: 10.1016/S0252-9602(13)60090-9

• 论文 • 上一篇    下一篇

VARIOUS NOTIONS OF ORTHOGONALITY IN NORMED SPACES

N.B. OKELO|J.O. AGURE|P.O. OLECHE   

  1. School of Mathematics and Actuarial Science, Jaramogi Oginga Odinga University of Science and Technology, Box 210-40601, Bondo, Kenya; School of Mathematics, Statistics and Actuarial Science, Maseno University, Box 333, Maseno, Kenya
  • 收稿日期:2011-09-27 修回日期:2012-12-12 出版日期:2013-09-20 发布日期:2013-09-20
  • 基金资助:

    The first author´s appreciations go to National Council for Science and Technology (NCST) of Kenya and DAAD- Germany for the financial support to this research.

VARIOUS NOTIONS OF ORTHOGONALITY IN NORMED SPACES

N.B. OKELO|J.O. AGURE|P.O. OLECHE   

  1. School of Mathematics and Actuarial Science, Jaramogi Oginga Odinga University of Science and Technology, Box 210-40601, Bondo, Kenya; School of Mathematics, Statistics and Actuarial Science, Maseno University, Box 333, Maseno, Kenya
  • Received:2011-09-27 Revised:2012-12-12 Online:2013-09-20 Published:2013-09-20
  • Supported by:

    The first author´s appreciations go to National Council for Science and Technology (NCST) of Kenya and DAAD- Germany for the financial support to this research.

摘要:

In this paper, we present various notions and aspects of orthogonality in normed spaces. Characterizations and generalizations of orthogonality are also consid-ered. Results on orthogonality of the range and the kernel of elementary operators and the operators implementing them also are given.

关键词: orthogonality, normed space, elementary operator

Abstract:

In this paper, we present various notions and aspects of orthogonality in normed spaces. Characterizations and generalizations of orthogonality are also consid-ered. Results on orthogonality of the range and the kernel of elementary operators and the operators implementing them also are given.

Key words: orthogonality, normed space, elementary operator

中图分类号: 

  • 47B47