38 citations · 136 across the 14 of their papers we have counts for
14 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…
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…
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…
Fredholm operators and essential S-spectrum in the quaternionic setting
B. Muraleetharan, K. Thirulogasanthar
For bounded right linear operators, in a right quaternionic Hilbert space with a left multiplication defined on it, we study the approximate -point spectrum. In the same Hilbert…
Lagrange Multiplier Local Necessary and Global Sufficiency Criteria for Some Non-Convex Programming Problems
B. Muraleetharan, S. Selvarajan, S. Srisatkunarajah +1
In this paper we consider three minimization problems, namely quadratic, -convex and quadratic fractional programing problems. The quadratic problem is considered with quadratic…