8 citations · 18 across the 14 of their papers we have counts for
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math.OA2017★ 2 cited
On a class of determinant preserving maps for finite von Neumann algebras
Marcell Gaál, Soumyashant Nayak
Let be a finite von Neumann algebra with a faithful tracial state and let denote the associated Fuglede-Kadison determinant. In this paper, we characterize al…
math.OA2017★ 3 cited
The Douglas lemma for von Neumann algebras and some applications
Soumyashant Nayak
In this article, we discuss some applications of the well-known Douglas factorization lemma in the context of von Neumann algebras. Let denote the set of…
math.OA2017★ 8 cited
The Hadamard Determinant Inequality - Extensions to Operators on a Hilbert Space
Soumyashant Nayak
A generalization of classical determinant inequalities like Hadamard's inequality and Fischer's inequality is studied. For a version of the inequalities originally proved by Arveso…