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Orthogonality: An antidote to Kadison's anti-lattice theorem
Anil Kumar Karn
In this paper, we propose non-commutative analogues of infimum and supremum with the help of algebraic orthogonality.
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…
Absolutely compatible pair of elements in a von Neumann algebra-II
Anil Kumar Karn
Let be a unital C-algebra with unity . A pair of elements in is said to be \emph{absolutely compatible} if, $\vert a - b \vert + \vert 1_A - a…
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…