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A necessary and sufficient condition, which is a weak converse of a classical theorem of Behnke-Stein, in order that a limit of Stein spaces be again a Stein space is proved.
Let be a complex analytic manifold. an increasing sequence of relatively compact open domains such that , a locally free coherent analytic sheaf on , then we prove that if for every , fixed, we have also for every .
Si dimostra un risultato di prolungamento per applicazioni meromorfe a valori in uno spazio -completo che generalizza direttamente il risultato classico di Hartogs e migliora risultati di K. Stein.
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