6 papers · 1 filter
Extreme points, positive Grothendieck constants and tensor product norms
Rajeev Gupta, Arpita Mal, Gadadhar Misra +1
We study several interrelated problems arising from the interplay between extreme point theory, Grothendieck-type inequalities, and tensor product norms. We develop a general frame…
Linear maps in $\mathcal{L}(\ell_{\MakeLowercase{p}},\mathcal{Y}) $ preserving parallel and TEA pairs
Arpita Mal
A pair of vectors in a Banach space is said to be a triangle equality attaining (or TEA) pair if and a parallel pair if $\|x+λy\|=\|x…
Min-max relations for tuples of operators in terms of component spaces
Arpita Mal
For tuples of compact operators and on Banach spaces over a field , considering the joint -operator…
Linear maps on , preserving parallel pairs
Arpita Mal
Two vectors of a Banach space are said to form a parallel (resp. triangle equality attaining or TEA) pair if holds for some scalar with …
Joint numerical radius of Tuples: Extreme points, subdifferential set and Gateaux derivative
Arpita Mal
Suppose is the space of all tuples of operators on a finite-dimensional Banach space endowed with the joint numerical radius norm. We obtain the structure of the extr…
On uniform Bishop-Phelps-Bollobás type approximations of linear operators and preservation of geometric properties
Debmalya Sain, Arpita Mal, Kalidas Mandal +1
We study uniform BPB approximations of bounded linear operators between Banach spaces from a geometric perspective. We show that for sufficiently small positive values of $ε,…