Abstract
This paper is concerned with the connection between reserving Birkhoff-James orthogonality and the new particular case of the Carlsson orthogonality concerning non-zero linear operators in a complete normed linear space. The purpose of this article is to find the interrelation between reserving Pytharegorean and Birkhoff-James orthogonality. It is proved that if a non-zero linear operator reserves Pythagorean orthogonality, then it also reserves Birkhoff ’s orthogonality. It has also been proved that the unique property of orthogonality concerning the reserving Pythagorean orthogonality.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
