Birkhoff-James orthogonality in certain tensor products of Banach spaces
Mohit, Ranjana Jain
TL;DR
This paper investigates how Birkhoff-James orthogonality of elementary tensors relates to the orthogonality of their component elements within specific tensor product spaces of Banach spaces.
Contribution
It establishes a connection between tensor orthogonality and individual element orthogonality in certain Banach space tensor products, advancing understanding of geometric properties.
Findings
Identifies conditions linking tensor and element orthogonality.
Provides new characterizations of Birkhoff-James orthogonality in tensor products.
Enhances the theoretical framework of Banach space geometry.
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.
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Taxonomy
TopicsMedical Imaging Techniques and Applications · Advanced Data Compression Techniques · Fuzzy and Soft Set Theory