3 papers
math.FA2025
On approximately orthogonality preserving and reversing operators
Divya Khurana
We study approximately orthogonality (in the sense of Dragomir) preserving and reversing operators. We show that for some orthogonality notations, an operator defined from a finite…
math.DS2024
Weak mixing behavior for the projectivized derivative extension
Shilpak Banerjee, Divya Khurana, Philipp Kunde
In both smooth and analytic categories, we construct examples of diffeomorphisms of topological entropy zero with intricate ergodic properties. On any smooth compact connected mani…
math.FA2024
On symmetric and approximately symmetric operators
Divya Khurana
We introduce the notion of local orthogonality preserving operators to study the right-symmetry of operators. As a consequence of our work, we show that any smooth compact operator…