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Birkhoff-James Orthogonality and Its Local Symmetry in Some Sequence Spaces
Babhrubahan Bose, Saikat Roy, Debmalya Sain
We study Birkhoff-James orthogonality and its local symmetry in some sequence spaces namely for , , , and . Using the characte…
Birkhoff-James orthogonality in complex Banach spaces and Bhatia-Šemrl Theorem revisited
Saikat Roy, Satya Bagchi, Debmalya Sain
We explore Birkhoff-James orthogonality of two elements in a complex Banach space by using the directional approach. Our investigation illustrates the geometric distinctions betwee…
Numerical radius and a notion of smoothness in the space of bounded linear operators
Saikat Roy, Debmalya Sain
We observe that the classical notion of numerical radius gives rise to a notion of smoothness in the space of bounded linear operators on certain Banach spaces, whenever the numeri…
On best approximations in Banach spaces from the perspective of orthogonality
Debmalya Sain, Saikat Roy
We study best approximations in Banach spaces via Birkhoff-James orthogonality of functionals. To exhibit the usefulness of Birkhoff-James orthogonality techniques in the study of…
On Best approximations to compact operators
Debmalya Sain
We study best approximations to compact operators between Banach spaces and Hilbert spaces, from the point of view of Birkhoff-James orthogonality and semi-inner-products. As an ap…
Local approximate symmetry of Birkhoff-James orthogonality in normed linear spaces
Jacek Chmieliński, Divya Khurana, Debmalya Sain
Two different notions of approximate Birkhoff-James orthogonality in nor\-med linear spaces have been introduced by Dragomir and Chmie\-liń\-ski. In the present paper we consider a…