8 citations · 18 across the 14 of their papers we have counts for
14 papers
On the convergence of the normalized power sequence of Riesz operators
Soumyashant Nayak, Renu Shekhawat
Let be a complex Hilbert space and be the algebra of all bounded linear operators on . For , l…
On the Jordan-Chevalley-Dunford decomposition of operators in type Murray-von Neumann algebras
Soumyashant Nayak, Renu Shekhawat
We show that, for , the mapping on which sends a matrix to its diagonalizable part in its Jordan-Chevalley decomposition, is {\bf norm-unbounded} on any…
On the convergence of the normalized power sequence of spectral operators on Hilbert space
Soumyashant Nayak, Renu Shekhawat
Let be a complex Hilbert space, and let denote the set of all bounded operators on . For an operator $T \in \mathscr{B}(\math…
Algebraic aspects and functoriality of the set of affiliated operators
Indrajit Ghosh, Soumyashant Nayak
In this article, we aim to provide a satisfactory algebraic description of the set of affiliated operators for von Neumann algebras. Let be a von Neumann algebra acti…
A stronger form of Yamamoto's theorem on singular values
Soumyashant Nayak
For a matrix , let . For , we show that the matrix sequence $\big\{ |A^n|^{\frac{1}{n}} \big\}_{n \in \mathbb{N}}…
On products of symmetries in von Neumann algebras
B V Rajarama Bhat, Soumyashant Nayak, P Shankar
Let be a type von Neumann algebra. We show that every unitary in may be decomposed as the product of six symmetries (that is, self-adjoint unitar…
On Murray-von Neumann algebras -- I: Topological, Order-Theoretic and Analytical Aspects
Soumyashant Nayak
For a countably decomposable finite von Neumann algebra , we show that any choice of a faithful normal tracial state on engenders the same measure topolo…
Matrix algebras over algebras of unbounded operators
Soumyashant Nayak
Let be a factor acting on the Hilbert space , and be the Murray-von Neumann algebra of closed densely-defined operato…
Jensen's inequality in finite subdiagonal algebras
Soumyashant Nayak
Let be a finite von Neumann algebra with a faithful normal tracial state and be a finite subdiagonal subalgebra of with respect to a…
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…
A framework for rank identities -- With a view towards operator algebras
Soumyashant Nayak
For every square matrix over a field , we have the equality where denotes the…
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…
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…
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…