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math.FA2017
Algebraic orthogonality and commuting projections in operator algebras
Anil Kumar Karn
We describe absolutely ordered -normed spaces, for which presents a model for "non-commutative" vector lattices and includes order theoretic orthogonality.…
math.FA2017★ 1 cited
-ideals and split faces of the quasi state space of a non-unital ordered Banach space
Anindya Ghatak, Anil Kumar Karn
We characterize -ideals in order smooth -normed spaces by extending the notion of split faces of the state space to those of the quasi-state space. We also characterize…