Theoretical analysis characterizes isometric isomorphisms between operator biduals on Banach lattices, highlighting geometric constraints on underlying function spaces.
We investigate necessary and sufficient conditions on the geometry of a Banach lattice X under which the bidual of the algebra of approximable regular operators on X is naturally isometrically isomorphic, as a Banach lattice algebra, to the algebra of regular operators on X''.
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A. Blanco (2026) studied this question.
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