Geodesic
Hyperbolicity and Vitali properties of unbounded domains in Banach spaces
Nguyen Quang Dieu1 ; Nguyen Van Khiem1 ; Le Thanh Hung2
1Department of Mathematics Hanoi National University of Education 136 Xuan Thuy Street Hanoi, Vietnam
2Vinh Phuc College of Education Trung Trac, Vinh Phuc, Vietnam
Annales Polonici Mathematici, Tome 119 (2017) no. 3, pp. 255-273
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Let $\varOmega $ be an unbounded domain in a Banach space. In this work, we wish to impose local conditions on the boundary points of $\varOmega $ (including the point at infinity) that guarantee hyperbolicity and complete hyperbolicity of $\varOmega .$ We also search for local boundary conditions so that Vitali properties hold true for $\varOmega .$ These properties might be considered as analogues of the usual taut property in the finite-dimensional case.
DOI : 10.4064/ap4146-8-2017
Keywords: varomega unbounded domain banach space work wish impose local conditions boundary points varomega including point infinity guarantee hyperbolicity complete hyperbolicity varomega search local boundary conditions vitali properties varomega these properties might considered analogues usual taut property finite dimensional

Nguyen Quang Dieu  1   ; Nguyen Van Khiem  1   ; Le Thanh Hung  2

1 Department of Mathematics Hanoi National University of Education 136 Xuan Thuy Street Hanoi, Vietnam
2 Vinh Phuc College of Education Trung Trac, Vinh Phuc, Vietnam 
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     title = {Hyperbolicity and {Vitali} properties of unbounded domains in {Banach} spaces},
     journal = {Annales Polonici Mathematici},
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Nguyen Quang Dieu; Nguyen Van Khiem; Le Thanh Hung. Hyperbolicity and Vitali properties of unbounded domains in Banach spaces. Annales Polonici Mathematici, Tome 119 (2017) no. 3, pp. 255-273. doi: 10.4064/ap4146-8-2017

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