. "Envelopes of open sets and extending holomorphic functions on dual Banach spaces" . "257288" . . "11320" . . "Journal of Mathematical Analysis and Applications" . . . "Envelopes of open sets and extending holomorphic functions on dual Banach spaces" . "RIV/00216208:11320/10:10049937" . . "Kalenda, Ond\u0159ej" . "[AF7DA9A367A5]" . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "16"^^ . "Envelopes of open sets and extending holomorphic functions on dual Banach spaces"@en . . . "3"^^ . "Garc\u00EDa, Domingo" . . "RIV/00216208:11320/10:10049937!RIV11-MSM-11320___" . "363" . "Envelopes of open sets and extending holomorphic functions on dual Banach spaces"@en . . . "1"^^ . "2" . "We investigate certain envelopes of open sets in dual Banach spaces which are related to extending holomorphic functions. We give a variety of examples of absolutely convex sets showing that the extension is in many cases not possible. We also establish connections to the study of iterated weak* sequential closures of convex sets in the dual of separable spaces." . . "Maestre, Manuel" . "0022-247X" . "P(IAA100190901), Z(MSM0021620839)" . . "Algebra of holomorphic functions; Boundedly regular set; Balanced set; Absolutely convex set"@en . . "We investigate certain envelopes of open sets in dual Banach spaces which are related to extending holomorphic functions. We give a variety of examples of absolutely convex sets showing that the extension is in many cases not possible. We also establish connections to the study of iterated weak* sequential closures of convex sets in the dual of separable spaces."@en . . . . "000272149700028" .