108 citations · 529 across the 96 of their papers we have counts for
4 papers · 1 filter
On the Gauss-Lucas theorem in the quaternionic setting
Sorin G. Gal, J. Oscar González-Cervantes, Irene Sabadini
In theory of one complex variable, Gauss-Lucas Theorem states that the critical points of a non constant polynomial belong to the convex hull of the set of zeros of the polynomial.…
Perturbation of normal quaternionic operators
Paula Cerejeiras, Fabrizio Colombo, Uwe Kähler +1
The theory of quaternionic operators has applications in several different fields such as quantum mechanics, fractional evolution problems, and quaternionic Schur analysis, just to…
S-Spectrum and the quaternionic Cayley transform of an operator
B. Muraleetharan, I. Sabadini, K. Thirulogasanthar
In this paper we define the quaternionic Cayley transformation of a densely defined, symmetric, quaternionic right linear operator and formulate a general theory of defect number i…
A Representation of Weyl-Heisenberg Lie Algebra in the Quaternionic Setting
B. Muraleetharan, K. Thirulogasanthar, I. Sabadini
Using a left multiplication defined on a right quaternionic Hilbert space, linear self-adjoint momentum operators on a right quaternionic Hilbert space are defined in complete anal…