38 citations · 236 across the 26 of their papers we have counts for
28 papers
Berberian extension and its S-spectra in a quaternionic Hilbert space
B. Muraleetharan, K. Thirulogasanthar
For a bounded right linear operators , in a right quaternionic Hilbert space , following the complex formalism, we study the Berberian extension , w…
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…
Decomposable operators, local S-spectrum and S-spectrum in the quaternionic setting
K. Thirulogasanthar, B. Muraleetharan
In a right quaternionic Hilbert space, following the complex formalism, decomposable operators, the so-called Bishop's property and the single valued extension property are defined…
Kato S-spectrum in the quaternionic setting
B. Muraleetharan, K. Thirulogasanthar
In a right quaternionic Hilbert space, for a bounded right linear operator, the Kato S-spectrum is introduced and studied to a certain extent. In particular, it is shown that the K…
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…
Weyl and Browder S-spectrums in a right quaternionic Hilbert space
B. Muraleetharan, K. Thirulogasanthar
In this note first we study the Weyl operators and Weyl S-spectrum of a bounded right quaternionic linear operator, in the setting of the so-called S-spectrum, in a right quaternio…