7 papers
Quaternionic Quantum q-Oscillator and Unbounded Subnormal Operators
T. Prasad, K Krishnan, E. Shine Lal
In this note, we observe that the class of unbounded subnormal operators on quaternionic Hilbert spaces is a solution of quaternionic q-oscillator problem whose complex case is add…
Cauchy dual Subnormality of extensions of -isometric composition operators on directed graphs
V. Devadas, T. Prasad, E. Shine Lal
In this paper, we discuss the analyticity, - regularity, kernel condition and subnormality of Cauchy dual of -quasi--isometric composition operators on directed grap…
Completion problem for extension of m- isometric weighted composition operators on directed graphs
V. Devadas, T. Prasad, E. Shine Lal
In this paper, we discuss k-quasi-m-isometric completion problem of unilateral weighted shifts and composition operators on directed graphs with one circuit and more than one branc…
Property and Consistent invertibility
Simi Thomas, T Prasad, Shery Fernandez
In this paper, we study the stability of Property under commuting finite rank perturbation in terms of spectrum induced by consistent in invertibility for operators and a…
Universal Solvability for Robot Motion Planning on Graphs
Anubhav Dhar, Pranav Nyati, Tanishq Prasad +2
We study the Universal Solvability of Robot Motion Planning on Graphs (USolR) problem: given an undirected graph and robots, determine whether any arbitrary config…
Some Classes of Absolutely Norm Attaining Weighted Shift operators on Directed Graphs
K Krishnan, T. Prasad, E. Shine Lal
In this paper we study absolutely norm attaining quasi--paranormal weighted shifts on directed graphs and give some examples. Moreover we give some examples which show that t…
Extension of m-isometric weighted composition operators on directed graphs
V. Devadas, E. Shine Lal, T. Prasad
In this paper, we discuss k-quasi-m-isometric composition operators and weighted composition operators on directed graphs with one circuit and more than one branching vertex.