VARIOUS NOTIONS OF ORTHOGONALITY IN NORMED SPACES

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.

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Bibliographic Details
Published in:Acta mathematica scientia 2013-09, Vol.33 (5), p.1387-1397
Main Authors: OKELO, N.B., AGURE, J.O., OLECHE, P.O.
Format: Article
Language:English
Subjects:
47A30
47B47
elementary operator
Kernels
normed space
Operators
Orthogonality
正交性
赋范空间
运营商
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Description
Summary: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.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(13)60090-9