Soumyashant Nayak

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20172026

most citedThe Hadamard Determinant Inequality - Extensions to Operators on a Hilbert Space

8 citations · 18 across the 14 of their papers we have counts for

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3 papers · 1 filter

math.FA2026

On the convergence of the normalized power sequence of Riesz operators

Soumyashant Nayak, Renu Shekhawat

Let $H$ be a complex Hilbert space and $B (H)$ be the algebra of all bounded linear operators on $H$ . For $T \in B (H)$ , l…

math.FA2024

On the convergence of the normalized power sequence of spectral operators on Hilbert space

Soumyashant Nayak, Renu Shekhawat

Let $H$ be a complex Hilbert space, and let $B (H)$ denote the set of all bounded operators on $H$ . For an operator $T \in \mathscr{B}(\math…

math.FA2023★ 2 cited

A stronger form of Yamamoto's theorem on singular values

Soumyashant Nayak

For a matrix $T \in M_{m} (C)$ , let $∣ T ∣ := T^{*} T$ . For $A \in M_{m} (C)$ , we show that the matrix sequence $\big\{ |A^n|^{\frac{1}{n}} \big\}_{n \in \mathbb{N}}…