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math.OA2019
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.
math.OA2019
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…