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math.FA2021
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…
math.FA2019
A study of symmetric points in Banach spaces
Debmalya Sain, Saikat Roy, Satya Bagchi +1
We completely characterize the left-symmetric points, the right-symmetric points, and, the symmetric points in the sense of Birkhoff-James, in a Banach space. We obtain a complete…
math.FA2019
Extreme contractions on finite-dimensional polygonal Banach spaces-II
Anubhab Ray, Saikat Roy, Satya Bagchi +1
We introduce the concept of weak L-P property for a pair of Banach spaces, in the study of extreme contractions. We give examples of pairs of Banach spaces (not) satisfying weak L-…