Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators

Bernard Okelo

doi:10.33434/cams.442556

EN

Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators

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.

Keywords

Range-Kernel orthogonality,Elementary operator

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Bernard Okelo ^*
Kenya

Publication Date

December 24, 2018

Submission Date

July 11, 2018

Acceptance Date

August 16, 2018

Published in Issue

Year 2018 Volume: 1 Number: 2

DOI

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

IZ

https://izlik.org/JA99XZ26XB

APA

Okelo, B. (2018). Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators. Communications in Advanced Mathematical Sciences, 1(2), 91-98. https://doi.org/10.33434/cams.442556

AMA

1.Okelo B. Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators. Communications in Advanced Mathematical Sciences. 2018;1(2):91-98. doi:10.33434/cams.442556

Chicago

Okelo, Bernard. 2018. “Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators”. Communications in Advanced Mathematical Sciences 1 (2): 91-98. https://doi.org/10.33434/cams.442556.

EndNote

Okelo B (December 1, 2018) Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators. Communications in Advanced Mathematical Sciences 1 2 91–98.

IEEE

[1]B. Okelo, “Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators”, Communications in Advanced Mathematical Sciences, vol. 1, no. 2, pp. 91–98, Dec. 2018, doi: 10.33434/cams.442556.

ISNAD

Okelo, Bernard. “Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators”. Communications in Advanced Mathematical Sciences 1/2 (December 1, 2018): 91-98. https://doi.org/10.33434/cams.442556.

JAMA

1.Okelo B. Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators. Communications in Advanced Mathematical Sciences. 2018;1:91–98.

MLA

Okelo, Bernard. “Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators”. Communications in Advanced Mathematical Sciences, vol. 1, no. 2, Dec. 2018, pp. 91-98, doi:10.33434/cams.442556.

Vancouver

1.Bernard Okelo. Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators. Communications in Advanced Mathematical Sciences. 2018 Dec. 1;1(2):91-8. doi:10.33434/cams.442556

The published articles in CAMS are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License..

Norm-Attainability and Range-Kernel Orthogonality of Elementary Operators

Abstract

Keywords

Abstract

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

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