16 papers
On the Ball Covering Property of
Ankan Mishra, Kallol Paul, Debmalya Sain +1
We investigate the Ball Covering Property (BCP) of Banach spaces through the lens of Birkhoff-James orthogonality, yielding a new geometric characterization of the property. Applyi…
A characterization of Banach spaces with numerical index one
Subhadip Pal, Saikat Roy, Debmalya Sain
We investigate the extremal properties of the unit ball of , the dual space of bounded linear operators defined on a Banach space equipped with the numerical radius n…
Refinements of the Blanco-Koldobsky-Turnšek Theorem
Jayanta Manna, Kalidas Mandal, Kallol Paul +1
We refine the well-known Blanco-Koldobsky-TurnÅ¡ek Theorem which states that a norm one linear operator defined on a Banach space is an isometry if and only if it preserves orthogo…
On anti-coproximinal and strongly anti-coproximinal subspaces of function spaces
Shamim Sohel, Souvik Ghosh, Debmalya Sain +1
The purpose of this article is to study the anti-coproximinal and strongly anti-coproximinal subspaces of the Banach space of all bounded (continuous) functions. We obtain a tracta…
On symmetricity of the norm derivatives orthogonality in operator spaces
Souvik Ghosh, Kallol Paul, Debmalya Sain
We investigate -orthogonality and its local symmetry in the space of bounded linear operators. A characterization of Hilbert space operators with symmetric numerical range is e…
An improvement of the Blanco-Koldobsky-Turnšek characterization of isometries
Jayanta Manna, Kalidas Mandal, Kallol Paul +1
We present an improvement of the Blanco-Koldobsky-TurnÅ¡ek characterization of isometries in normed linear spaces by using the concept of level vectors of an operator. In this cont…