54 citations · 332 across the 64 of their papers we have counts for
4 papers · 1 filter
Orthogonality in a vector space with a topology And a generalization of Bhatia-Semrl Theorem
Debmalya Sain, Saikat Roy, Kallol Paul
We introduce the notion of orthogonality in a vector space with a topology on it. To serve our purpose, we define orthogonality space for a given vector space X, using the topology…
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…
Smoothness and norm attainment of bounded bilinear operators between Banach spaces
Debmalya Sain
We study the smoothness and the norm attainment of bounded bilinear operators between Banach spaces, using the concepts of Birkhoff-James orthogonality and semi-inner-products. In…
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-…