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math.FA2019
Partial isometries in an absolute order unit space
Anil Kumar Karn, Amit kumar
In this paper, we extend the notion of orthogonality to the general elements of an absolute matrix order unit space and relate it to the orthogonality among positive elements. We i…
math.FA2019
Isometries of absolute order unit spaces
Anil Kumar Karn, Amit kumar
We prove that for a bijective, unital, linear map between absolute order unit spaces is an isometry if, and only if, it is absolute value preserving. We deduce that, on (unital) $J…