Soumyashant Nayak

activity

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

collaborators

Showing 2018Show all

4 papers · 1 filter

math-ph2018★ 2 cited

Matrix algebras over algebras of unbounded operators

Soumyashant Nayak

Let $M$ be a $I I_{1}$ factor acting on the Hilbert space $H$ , and $M_{aff}$ be the Murray-von Neumann algebra of closed densely-defined operato…

math.OA2018

Jensen's inequality in finite subdiagonal algebras

Soumyashant Nayak

Let $M$ be a finite von Neumann algebra with a faithful normal tracial state $τ$ and $A$ be a finite subdiagonal subalgebra of $M$ with respect to a…

math.OA2018

An operator inequality for range projections

Soumyashant Nayak

By a result of Lundquist-Barrett, it follows that the rank of a positive semi-definite matrix is less than or equal to the sum of the ranks of its principal diagonal submatrices wh…

math.RA2018

A framework for rank identities -- With a view towards operator algebras

Soumyashant Nayak

For every square matrix $A$ over a field $K$ , we have the equality $rank (A) + rank (I - A) = rank (I) + rank (A - A^{2})$ where $I$ denotes the…