Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators

Bernard OKELO

doi:https://doi.org/10.33434/cams.442556

Article Details

Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators

Authors:

Bernard OKELO

Publisher:

Emrah Evren KARA

Main Topics:

Mathematics

Journal:

Communications in Advanced Mathematical Sciences 2018 Vol.1 Issue 2, pp.91-98

Document Type:

Article

Publication Date:

12/2018

Document Language:

English

Document ID (Org No.):

2000911737

Frequency:

Quarterly

pISSN:

2651-4001

DOI:

https://doi.org/10.33434/cams.442556

Abstract:

 


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.

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Article Details

Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators

Authors: Bernard OKELO

Publisher: Emrah Evren KARA

Main Topics: Mathematics

Journal: Communications in Advanced Mathematical Sciences 2018 Vol.1 Issue 2, pp.91-98

Document Type: Article

Publication Date: 12/2018

Document Language: English

Document ID (Org No.): 2000911737

Frequency: Quarterly

pISSN: 2651-4001

DOI: https://doi.org/10.33434/cams.442556

Issues

Authors:

Bernard OKELO

Publisher:

Emrah Evren KARA

Main Topics:

Mathematics

Journal:

Communications in Advanced Mathematical Sciences 2018 Vol.1 Issue 2, pp.91-98

Document Type:

Article

Publication Date:

12/2018

Document Language:

English

Document ID (Org No.):

2000911737

Frequency:

Quarterly

pISSN:

2651-4001

DOI:

https://doi.org/10.33434/cams.442556