Kritika Babbar

collaborators

4 papers

math.FA2026

Characterization of paired and Toeplitz + Hankel operators on the polydisc

Kritika Babbar, Mo Javed, Amit Maji

In this paper, we obtain a complete classification of Toeplitz + Hankel operators on the vector-valued Hardy space $H_{E}^{2} (D^{n})$ over the polydisc $\mathbb{D}^n…

math.FA2026

Partially isometric truncated and dual truncated Toeplitz operators

Kritika Babbar, Mo Javed, Amit Maji

Let $I^¸$ be a non-constant inner function and let $I ¨ = u v$ , where $u$ and $v$ are inner functions such that $v$ divides $I^¸$ . In this paper we characterize the partially…

math.FA2025

Characteristic function of a power partial isometry

Kritika Babbar, Amit Maji

The celebrated Sz.-Nagy-FoiaÅ model theory says that there is a bijection between the class of purely contractive analytic functions and the class of completely non-unitary (c.n.u…

math.FA2025

Power partial isometries

Kritika Babbar, Amit Maji

In this paper we obtain a complete characterization of reducing, invariant, and hyperinvariant subspaces for the completely non-unitary component of a power partial isometry. In pa…