Ligneous conjunctivitis (LC) is a rare disorder characterized by a chronic course of recurrent membranous lesions at conjunctivae. Pseudomembranes of other mucous membranes have been reported in patients with LC, but to the best of our knowledge, no case with alveolar involvement has been described. Here, we report a 2.5-year-old girl with LC who had tracheoaveolar involvement and homozygous type I plasminogen deficiency. Tracheal involvement was diagnosed by bronchoscopic biopsy and alveolar involvement with postmortem biopsy. She was shown to be homozygous for frameshift mutation in plasminogen exon 14 (Gly565ins-G) with molecular genetic examination of DNA which was obtained from parafin embedded postmortem lung tissue. Ligneous inflammation of the upper and lower respiratory tract must be considered in children with LC and recurrent respiratory tract problems.
We extend the well known criteria of reflexivity of Banach lattices due to Lozanovsky and Lotz to the class of finitely generated Banach C(K)modules. Namely we prove that a finitely generated Banach C(K)-module is reflexive if and only if it does not contain any subspace isomorphic to either l 1 or c 0 .
Let E be a Banach lattice. Its ideal center Z (E) is embedded naturally in the ideal center Z (E ) of its dual. The embedding may be extended to a contractive algebra and lattice homomorphism of Z (E) into Z (E ). We show that the extension is onto Z (E ) if and only if E has a topologically full center. (That is, for each x ∈ E, the closure of Z (E)x is the closed ideal generated by x.) The result can be generalized to the ideal center of the order dual of an Archimedean Riesz space and in a modified form to the orthomorphisms on the order dual of an Archimedean Riesz space.
Mathematics Subject Classification (2000)Primary 47B38 · 47B60 · 46B42; Secondary 46H25 · 47L10
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