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arXiv · 1808.06146

A study of orthogonality of bounded linear operators

Tamara Bottazzi·Cristian Conde·Debmalya Sain
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Abstract

We study Birkhoff-James orthogonality and isosceles orthogonality of bounded linear operators between Hilbert spaces and Banach spaces. We explore Birkhoff-James orthogonality of bounded linear operators in light of a new notion introduced by us and also discuss some of the possible applications in this regard. We also study isosceles orthogonality of bounded (positive) linear operators on a Hilbert space and some of the related properties, including that of operators having disjoint support. We further explore the relations between Birkhoff-James orthogonality and isosceles orthogonality in a general Banach space.

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Tamara Bottazzi, Cristian Conde, Debmalya Sain. 2018-08-18. A study of orthogonality of bounded linear operators. https://arxiv.org/abs/1808.06146

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