5 citations · 5 across the 7 of their papers we have counts for
7 papers · 1 filter
On relationship among three types of Birkhoff-James orthogonality
Soumitra Daptari, Koki Igarashi, Jumpei Nakamura +1
In this paper, we study three types of Birkhoff-James orthogonality in Hilbert -modules, that is, the strong, quasi-strong, and original Birkhoff-James orthogonality. In gener…
A study on state spaces in classical Banach spaces
Soumitra Daptari, Saurabh Dwivedi
Let be a real or complex Banach space. Let denote the unit sphere of . For , let . A lot of Banach space geometry can be…
A study of weak-weak points of continuity in the unit ball of dual spaces
S. Daptari, V. Montesinos, T. S. S. R. K. Rao
We study classes of Banach spaces where the points of weak-weak continuity for the identity mapping on the dual unit ball form a weak-dense and weak- set. We also…
On Hahn-Banach smoothness and related properties in Banach spaces
Soumitra Daptari
In this paper, we study several variants of Hahn-Banach smoothness, viz., property-//, where property- and property- are stronger notions and property…
New -numerical radius equalities and inequalities for certain operator matrices and applications
Soumitra Daptari, Fuad Kittaneh, Satyajit Sahoo
The main goal of this article is to establish several new -numerical radius equalities and inequalities for cross-diagonal, left circulant, skew left circul…
Uniqueness of Hahn--Banach extensions and some of its variants
Soumitra Daptari, Tanmoy Paul
In this study, we analyze the various strengthening and weakening of the uniqueness of the Hahn--Banach extension. In addition, we consider the case in which is an ideal of …
Uniqueness of Hahn-Banach extension and related norm- projections in dual spaces
Soumitra Daptari, Tanmoy Paul, T. S. S. R. K. Rao
In this paper we study two properties viz. property- and property- of a subspace of a Banach space which correspond to the uniqueness of the Hahn-Banach extension of eac…