Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators
Various aspects of elementary operators have been characterized by many mathematicians. In this paper, we consider norm-attainability and orthogonality of these operators in Banach spaces. Characterizations and generalizations of norm-attainability and orthogonality are given in details. We first gi...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Emrah Evren KARA
2018-12-01
|
| Series: | Communications in Advanced Mathematical Sciences |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/603045 |
| _version_ | 1797294235557298176 |
|---|---|
| author | Bernard Okelo |
| author_facet | Bernard Okelo |
| author_sort | Bernard Okelo |
| collection | DOAJ |
| description | Various aspects of elementary operators have been characterized by many mathematicians. In this paper, we consider norm-attainability and orthogonality of these operators in Banach spaces. Characterizations and generalizations of norm-attainability and orthogonality are given in details. We first give necessary and sufficient conditions for norm-attainability of Hilbert space operators then we give results on orthogonality of the range and the kernel of elementary operators when they are implemented by norm-attainable operators in Banach spaces. |
| first_indexed | 2024-03-07T21:27:18Z |
| format | Article |
| id | doaj.art-de4cd0f662204a81882ce1d845e7a78f |
| institution | Directory Open Access Journal |
| issn | 2651-4001 |
| language | English |
| last_indexed | 2024-03-07T21:27:18Z |
| publishDate | 2018-12-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| series | Communications in Advanced Mathematical Sciences |
| spelling | doaj.art-de4cd0f662204a81882ce1d845e7a78f2024-02-27T04:36:36ZengEmrah Evren KARACommunications in Advanced Mathematical Sciences2651-40012018-12-0112919810.33434/cams.4425561225Norm-Attainability and Range-Kernel Orthogonality of Elementary OperatorsBernard OkeloVarious aspects of elementary operators have been characterized by many mathematicians. In this paper, we consider norm-attainability and orthogonality of these operators in Banach spaces. Characterizations and generalizations of norm-attainability and orthogonality are given in details. We first give necessary and sufficient conditions for norm-attainability of Hilbert space operators then we give results on orthogonality of the range and the kernel of elementary operators when they are implemented by norm-attainable operators in Banach spaces.https://dergipark.org.tr/tr/download/article-file/603045range-kernel orthogonalityelementary operator |
| spellingShingle | Bernard Okelo Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators Communications in Advanced Mathematical Sciences range-kernel orthogonality elementary operator |
| title | Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators |
| title_full | Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators |
| title_fullStr | Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators |
| title_full_unstemmed | Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators |
| title_short | Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators |
| title_sort | norm attainability and range kernel orthogonality of elementary operators |
| topic | range-kernel orthogonality elementary operator |
| url | https://dergipark.org.tr/tr/download/article-file/603045 |
| work_keys_str_mv | AT bernardokelo normattainabilityandrangekernelorthogonalityofelementaryoperators |