Neeru Bala

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math.FA2026

Hyponormal contractions and analytic shifts

Sneha B, Neeru Bala, Jaydeb Sarkar

Hyponormal operators are known to be among the most difficult operators to analyze. In this work, we focus on two finite types of hyponormal operators. The first type becomes analy…

math.FA2026

The iterated Aluthge Transforms of compact operators

Neeru Bala

Let $T$ be a bounded linear operator on a Hilbert space. Then the Aluthge transform $Δ T$ and the sequence $(Δ^{n} T)$ of Aluthge iterates of $T$ are defined by \begin{align*} ΔT=|T|^{…

math.FA2024

Nayak's theorem for compact operators

B V Rajarama Bhat, Neeru Bala

Let $A$ be an $m \times m$ complex matrix and let $λ_{1}, λ_{2}, \dots, λ_{m}$ be the eigenvalues of $A$ arranged such that $∣ λ_{1} ∣ \geq ∣ λ_{2} ∣ \geq \dots \geq ∣ λ_{m} ∣$ and for $n \geq 1,$ le…