A. Mal

collaborators

5 papers

math.FA2026

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…

math.FA2026

Linear maps in $\mathcal{L}(\ell_{\MakeLowercase{p}},\mathcal{Y}) $ preserving parallel and TEA pairs

Arpita Mal

A pair $(x, y)$ of vectors in a Banach space $Y$ is said to be a triangle equality attaining (or TEA) pair if $∥ x + y ∥ = ∥ x ∥ + ∥ y ∥,$ and a parallel pair if $\|x+Î»y\|=\|x…

math.FA2025

Min-max relations for tuples of operators in terms of component spaces

Arpita Mal

For tuples of compact operators $T = (T_{1}, \dots, T_{d})$ and $S = (S_{1},$ $\dots, S_{d})$ on Banach spaces over a field $F$ , considering the joint $p$ -operator…

math.FA2025

Linear maps on $L (ℓ_{p}^{n}, ℓ_{p}^{m})$ , $(p \in {1, \infty})$ preserving parallel pairs

Arpita Mal

Two vectors $x, y$ of a Banach space are said to form a parallel (resp. triangle equality attaining or TEA) pair if $∥ x + I^» y ∥ = ∥ x ∥ + ∥ y ∥$ holds for some scalar $I^»$ with $∣ I^»∣ = 1$ …

math.FA2025

Joint numerical radius of Tuples: Extreme points, subdifferential set and Gateaux derivative

Arpita Mal

Suppose $Z$ 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…

Extreme points, positive Grothendieck constants and tensor product norms

Linear maps in $\mathcal{L}(\ell_{\MakeLowercase{p}},\mathcal{Y}) $ preserving parallel and TEA pairs

Min-max relations for tuples of operators in terms of component spaces

Linear maps on L(ℓpn​,ℓpm​), (p∈{1,∞}) preserving parallel pairs

Joint numerical radius of Tuples: Extreme points, subdifferential set and Gateaux derivative

Linear maps on $L (ℓ_{p}^{n}, ℓ_{p}^{m})$ , $(p \in {1, \infty})$ preserving parallel pairs