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arXiv · 1503.05385

S-spectrum and Associated Continuous Frames on Quaternionic Hilbert Spaces

M. Khokulan·K. Thirulogasanthar·B. Muraleetharan
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Abstract

As needed for the construction of rank $n$ continuous frames on a right quaternionic Hilbert space the so-called S-spectrum of a right quaternionic operator is studied. Using the S-spectrum, as for the case of complex Hilbert spaces, along the lines of the arguments of {\em Ann.Phys.}, {\bf 222} (1993), 1-37., various classes of rank $n$ continuous frames and their equivalencies on a right quaternionic Hilbert space are presented.

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M. Khokulan, K. Thirulogasanthar, B. Muraleetharan. 2015-03-18. S-spectrum and Associated Continuous Frames on Quaternionic Hilbert Spaces. https://doi.org/10.1016/j.geomphys.2015.06.007

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