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math.FA2019
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…
math.FA2019
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…
math.FA2019★ 3 cited
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…