29 citations · 39 across the 5 of their papers we have counts for
6 papers · 1 filter
Some remarks on orthogonality of bounded linear operators
Anubhab Ray, Debmalya Sain, Subhrajit Dey +1
We explore the relation between the orthogonality of bounded linear operators in the space of operators and that of elements in the ground space. To be precise, we study if $ T, A…
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-…
Extreme contractions on finite-dimensional polygonal Banach spaces
Debmalya Sain, Anubhab Ray, Kallol Paul
We explore extreme contractions between finite-dimensional polygonal Banach spaces, from the point of view of attainment of norm of a linear operator. We prove that if is an…
A complete characterization of smoothness in the space of bounded linear operators
Debmalya Sain, Kallol Paul, Arpita Mal +1
We completely characterize smoothness of bounded linear operators between infinite dimensional real normed linear spaces, probably for the very first time, by applying the concepts…
Chebyshev centers that are not farthest points
Debmalya Sain, Vladimir Kadets, Kallol Paul +1
In this paper we address the question whether in a given Banach space, a Chebyshev center of a nonempty bounded subset can be a farthest point of the set. Our exploration reveals t…
Farthest point problem and M-compact sets
D. Sain, K. Paul, A. Ray
In this paper we give an elementary proof of the fact that every uniquely remotal set is singleton in a finite dimensional strictly convex normed linear space. We show that if A is…