17 citations · 27 across the 4 of their papers we have counts for
4 papers
Perturbation of Continuous Frames on Quaternionic Hilbert Spaces
M. Khokulan, K. Thirulogasanthar
In this note, following the theory of discrete frame perturbations in a complex Hilbert space, we examine perturbation of rank continuous frame, rank continuous Bessel fami…
Frame Multipliers for discrete frames on Quaternionic Hilbert Spaces
M. Khokulan, K. Thirulogasanthar
In this note, following the complex theory, we examine discrete controlled frames, discrete weighted frames and frame multipliers in a non-commutative setting, namely in a left qua…
S-spectrum and Associated Continuous Frames on Quaternionic Hilbert Spaces
M. Khokulan, K. Thirulogasanthar, B. Muraleetharan
As needed for the construction of rank continuous frames on a right quaternionic Hilbert space the so-called S-spectrum of a right quaternionic operator is studied. Using the S…
Discrete frames on finite dimensional quaternion Hilbert spaces
M. Khokulan, K. Thirulogasanthar, S. Srisatkunarajah
An introductory theory of frames on finite dimensional quaternion Hilbert spaces is demonstrated along the lines of their complex counterpart.