Reinov, O.I. A Banach lattice with AP and without BAP Abstract: It is shown that there exists a Banach lattice with the approximation property which does not possess the bounded approximation property. AMSTeX, Russian (9 pp.) E-mail: orein@orein.usr.pu.ru Subj-Class: 47B10. Hilbert--Schmidt operators, trace class operators, nuclear operators, p-summing operators, etc. Submitted: 09.07.1999