scholarly journals Acknowledgement of priority — A fractional Helly theorem for boxes

2018 ◽  
Vol 67 ◽  
pp. 1
Author(s):  
I. Bárány ◽  
F. Fodor ◽  
A. Martínez-Pérez ◽  
L. Montejano ◽  
D. Oliveros ◽  
...  
Keyword(s):  
Helly Theorem

scholarly journals A note on the colorful fractional Helly theorem

2017 ◽  
Vol 340 (1) ◽  
pp. 3167-3170 ◽  
Author(s):  
Minki Kim
Keyword(s):  
Helly Theorem

scholarly journals A fractional Helly theorem for boxes

2015 ◽  
Vol 48 (3) ◽  
pp. 221-224 ◽  
Author(s):  
I. Bárány ◽  
F. Fodor ◽  
A. Martínez-Pérez ◽  
L. Montejano ◽  
D. Oliveros ◽  
...  
Keyword(s):  
Helly Theorem

scholarly journals A Helly theorem for functions with values in metric spaces

2009 ◽  
Vol 44 (1) ◽  
pp. 159-168 ◽  
Author(s):  
Miloslav Duchoň ◽  
Peter Maličký
Keyword(s):  
Metric Space ◽  
Metric Spaces ◽  
Complete Metric Space ◽  
Type Theorem ◽  
Continuous Functions ◽  
Linear Operators ◽  
Space Of Continuous Functions ◽  
Riesz Theorem ◽  
Helly Theorem

Abstract We present a Helly type theorem for sequences of functions with values in metric spaces and apply it to representations of some mappings on the space of continuous functions. A generalization of the Riesz theorem is formulated and proved. More concretely, a representation of certain majored linear operators on the space of continuous functions into a complete metric space.

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