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Uzbek Mathematical Journal, vol.67, no.3, pp.71-83, 2023 (Scopus)
A lattice pseudonormed lattice is a triplet (X, ρ, E) where X and E are vector lattices and ρ: X → E+ is an E-valued pseudonorm on X. By abstracting order theoretical properties of the norm of an AM-space with a strong norm unit to the case of lattice pseudonormed lattices, we obtain various distinct and special classes of lattice valued pseudonorms on X. By using these classes, we study properties of pseudonorm compact, pseudo-semicompact, order-AM-compact, and pseudo-AM-compact operators defined between lattice pseudonormed lattices.