Matter of KBN, 9 I. & N. Dec. 50 (BIA 1960) (decided shortly after Congress amended ina 245(a) to require "inspection and admission," rather than "admission as a bona fide nonimmigrant," the BIA held that entry by means of a fraudulently-acquired "certificate of identity" (comparable to a B-1 visa in the circumstances of the case) meets the "inspected and admitted" requirement - and then affirmed the decision to deny adjustment of status in the exercise of discretion). Note that currently a person in this situation is deemed deportable [not inadmissible] under INA 237(a)(1)(A) (inadmissible at time of entry or adjustment).
jurisdiction:
BIA