Birkhoff-James orthogonality in certain tensor products of Banach spaces

2022/10/25 by Mohit, Jain, Ranjana
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2210.13789

Abstract

In this article, the relationship between Birkhoff-James orthogonality of elementary tensors in certain tensor product spaces with the Birkhoff-James orthogonality of individual elements in their respective spaces is studied.

Related

• Birkhoff-James orthogonality in certain tensor products of Banach spaces II
• Orthogonality in Banach Spaces via projective tensor product
• Birkhoff-James orthogonality to a subspace of operators defined between Banach spaces
• Birkhoff-James orthogonality in complex Banach spaces and Bhatia-Šemrl Theorem revisited
• Birkhoff-James orthogonality of linear operators on finite dimensional Banach spaces