On the Pythagorean orthogonality of Hilbert bounded linear operators

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Published: 2023-12-03
DOI: https://doi.org/10.56947/gjom.v15i2.1605
Keywords:
Pythagorean orthogonality, norm attainment set, support functional

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Kallal Pal
School of Mathematics, Thapar Institute of Engineering and Technology, India
Sumit Chandok
School of Mathematics, Thapar Institute of Engineering and Technology, India

Abstract

In this work, we characterize the Pythagorean orthogonality of bounded linear operators using the concept of norm attainment set and disjoint support in Hilbert spaces.

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Vol. 15 No. 2 (2023)

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Articles

How to Cite

On the Pythagorean orthogonality of Hilbert bounded linear operators. (2023). Gulf Journal of Mathematics, 15(2), 148-151. https://doi.org/10.56947/gjom.v15i2.1605