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A classical result due te E. Cartan atates that if a sequence (h~) of holomorphic authomorphisms of the urait disk A of C is pointwise coravergenten A to a limit h and(h~(0)) is beuradedawayfrom the boundary O(A), thera h is a helomorphic automorphism of A. Tire analogeus result fer the operaurait hall D of a complexBanacirspace E is raot true irageneral. Here we consider poiratwisecoravergerat raets(ir~) of holomorphic autemorpirmsrus of the unit balis of those Banach spaces known as special Cartan factors arad establish a sufficieratcoraditiorafor tire poiratwiselimit h = lim? h1 to he a holemorphic automorphism of D.

Pointwise Convergent Nets of Holomorphic Automorphisms of the Unit Bali of Cartan Factors