3 papers
math.OA2025
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…
math.FA2024
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…
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…