A Free Convenient Vector Space for Holomorphic Spaces.
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E. Siegl (1995)
Monatshefte für Mathematik
Seán Dineen (1982)
Studia Mathematica
Ballico, E. (2003)
Georgian Mathematical Journal
Francine Meylan (2006)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Let be a complex Banach space. Recall that admits afinite-dimensional Schauder decompositionif there exists a sequence of finite-dimensional subspaces of such that every has a unique representation of the form with for every The finite-dimensional Schauder decomposition is said to beunconditionalif, for every the series which represents converges unconditionally, that is, converges for every permutation of the integers. For short, we say that admits an unconditional F.D.D.We...
Jean-Pierre Vigué (1978)
Annales scientifiques de l'École Normale Supérieure
Ballico, E. (2003)
Portugaliae Mathematica. Nova Série
Jean-François Colombeau, Bernard Perrot (1982)
Bulletin de la Société Mathématique de France
M. Lübke, C. Okonek (1986)
Mathematische Annalen
Samuele Mongodi, Alberto Saracco (2014)
Complex Manifolds
We treat the boundary problem for complex varieties with isolated singularities, of complex dimension greater than or equal to 3, non necessarily compact, which are contained in strongly convex, open subsets of a complex Hilbert space H.We deal with the problem by cutting with a family of complex hyperplanes and applying the already known result for the compact case.
Edoardo Vesentini (2005)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Let be a continuous map of the closure of the open unit disc of into a unital associative Banach algebra , whose restriction to is holomorphic, and which satisfies the condition whereby for all and whenever (where is the spectrum of any ). One of the basic results of the present paper is that is , that is to say, is then a compact subset of that does not depend on for all . This fact will be applied to holomorphic self-maps of the open unit ball of some -algebra...
Josef Mattes (1993)
Monatshefte für Mathematik
Liu, Mingsheng, Zhu, Yucan (2005)
International Journal of Mathematics and Mathematical Sciences
Imre Patyi (2000)
Bulletin de la Société Mathématique de France
Dov Aharonov, Mark Elin, Simeon Reich, David Shoikhet (1999)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
We present several characterizations and representations of semi-complete vector fields on the open unit balls in complex Euclidean and Hilbert spaces.
Pham Ban (1994)
Colloquium Mathematicae
In finite-dimensional complex analysis, the extension of holomorphic maps has been investigated by many authors. In recent years some authors have considered this problem in the infinite-dimensional case. The aim of the present note is to study the extension of holomorphic maps with values in some Banach complex manifolds.
Ю.Е. Хохлов (1980)
Trudy Seminara po Kraevym Zadacam
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