3 papers
math.FA2026
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…
math.FA2025
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.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…