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math.FA2026
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…
math.FA2026
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…
math.FA2026
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…