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math.FA2024
Banach lattice AM-algebras
David Muñoz-Lahoz, Pedro Tradacete
An analogue of Kakutani's representation theorem for Banach lattice algebras is provided. We characterize Banach lattice algebras that embed as a closed sublattice-algebra of $C(K)…
math.FA2024
Band projections and order idempotents in Banach lattice algebras
David Muñoz-Lahoz
Motivated by recent work about band projections on spaces of regular operators over a Banach lattice, given a Banach lattice algebra , we will say an element is a ba…