Some Classes of Banach Analytic Spaces

Some Classes of Banach Analytic Spaces

In this paper we introduce three classes of Banach analytic spaces: hyperbolic Banach analytic spaces, weakly taut spaces and Banach analytic spaces having Vitali's property. At the same time, we establish some relations between these three classes. Finally, we give some conditions under which...

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Veröffentlicht in:Mathematical proceedings of the Royal Irish Academy 2016, Vol.116A (1), p.1-17
Hauptverfasser: Le Mau Hai, Thai Thuan Quang, Duong Thanh Vy, Le Thanh Hung
Format: Artikel
Sprache:eng
Schlagworte:
Abstract spaces
Banach space
College mathematics
Complex analysis
Integers
Mathematical manifolds
Mathematical sequences
Mathematical theorems
Perceptron convergence procedure
Topological spaces
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Zusammenfassung:In this paper we introduce three classes of Banach analytic spaces: hyperbolic Banach analytic spaces, weakly taut spaces and Banach analytic spaces having Vitali's property. At the same time, we establish some relations between these three classes. Finally, we give some conditions under which balanced Hartogs domains in Banach spaces are weakly taut.
ISSN:1393-7197
2009-0021
DOI:10.3318/PRIA.2016.116.01