Chan He

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All published works

Action	Title	Year	Authors
+ PDF Chat	Partitioning bounded sets in symmetric spaces into subsets with reduced diameter	2024	Xinl ng Zhang Chan He
+	An orthogonality type based on invariant inner products	2023	Yanping Zhao Man Yu Senlin Wu Chan He
+ PDF Chat	Complete sets in normed linear spaces	2023	Chan He Horst Martini Senlin Wu
+ PDF Chat	Estimations of Covering Functionals of Convex Bodies Based on Relaxation Algorithm	2023	Man Yu Yafang Lv Yanping Zhao Chan He Senlin Wu
+	A Branch-and-Bound Approach for Estimating Covering Functionals of Convex Bodies	2022	Chan He Yafang Lv Horst Martini Senlin Wu
+ PDF Chat	Homothetic covering of convex hulls of compact convex sets	2022	Senlin Wu Keke Zhang Chan He
+	Homogeneity of isosceles orthogonality, transitivity of the norm, and characterizations of inner product spaces	2021	Senlin Wu Yixia He Chan He
+	Homothetic covering of convex hulls of compact convex sets	2021	Senlin Wu Keke Zhang Chan He
+	Covering a convex body vs. covering the set of its extreme points	2020	Senlin Wu Baofang Fan Chan He
+ PDF Chat	Covering functionals of Minkowski sums and direct sums of convex bodies	2020	Senlin Wu Baof ng Fan Chan He
+	Covering functionals of convex polytopes	2019	Senlin Wu Chan He
+ PDF Chat	Uniqueness of completions and related topics	2018	Chan He Horst Martini Senlin Wu
+	Uniqueness of completions and related topics	2018	Chan He Horst Martini Senlin Wu
+	Orthogonalities, linear operators, and characterization of inner product spaces	2017	Senlin Wu Chan He Guang Yang
+ PDF Chat	Wide and tight spherical hulls of bounded sets in Banach spaces	2016	Chan He Senlin Wu Xinling Zhang
+	On covering functionals of convex bodies	2016	Chan He Horst Martini Senlin Wu
+ PDF Chat	A Remark on the Homogeneity of Isosceles Orthogonality	2014	Chan He Dan Wang
+	On bisectors for convex distance functions	2013	Chan He Horst Martini Senlin Wu
+ PDF Chat	On Bisectors for Convex Distance Functions	2011	Chan He Horst Martini Senlin Wu
+	On the Ratios of Arc Lengths to Chord Lengths in Real Banach Spaces	2010	Senlin Wu Chan He
+ PDF Chat	Halving closed curves in normed planes and related inequalities	2009	Chan He Horst Martini Senlin Wu
+	Corrigendum to “Some properties concerning Milman's moduli” [J. Math. Anal. Appl. 329 (2007) 1260–1272]	2007	Chan He Yunan Cui
+	Note on Kuratowski Fourteen Sets Theorem	2007	Chan He
+	Some properties concerning Milman's moduli	2006	Chan He Yunan Cui

Common Coauthors

Coauthor	Papers Together
Senlin Wu	19
Horst Martini	8
Man Yu	2
Yafang Lv	2
Yunan Cui	2
Keke Zhang	2
Yixia He	1
Xinl ng Zhang	1
Baof ng Fan	1
Xinling Zhang	1
Yanping Zhao	1
Yanping Zhao	1
Dan Wang	1
Guang Yang	1
Baofang Fan	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Excursions into Combinatorial Geometry	1997	Vladimir G. Boltyanski Horst Martini P. S. Soltan	10
+	On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces	2011	Javier Alonso Horst Martini Senlin Wu	8
+	A quantitative program for Hadwiger’s covering conjecture	2010	Chuanming Zong	8
+	Affine diameters of convex bodies—a survey	2005	Valeriu Soltan	7
+	Combinatorial problems on the illumination of convex bodies	1999	Horst Martini Valeriu Soltan	7
+ PDF Chat	The geometry of Minkowski spaces — A survey. Part I	2001	Horst Martini Konrad J. Swanepoel Günter Weiß	7
+	On covering functionals of convex bodies	2016	Chan He Horst Martini Senlin Wu	5
+	Characterizations of Inner Product Spaces	1986	Dan Amir	5
+	Covering functionals of convex polytopes	2019	Senlin Wu Chan He	4
+ PDF Chat	Covering functionals of cones and double cones	2018	Senlin Wu Kexiang Xu	4
+ PDF Chat	On the geometry of spheres in normed linear spaces	1990	Ji Gao Ka‐Sing Lau	4
+	Research Problems in Discrete Geometry	2005	János Pach Peter Braß W. O. J. Moser	4
+ PDF Chat	Completions and balls in Banach spaces	2015	Pier Luigi Papini	4
+ PDF Chat	Orthogonality and linear functionals in normed linear spaces	1947	Robert James	4
+	The geometry of homothetic covering and illumination	2016	Károly Bezdek Muhammad A. Khan	3
+ PDF Chat	Convex Bodies of Constant Width	1983	G. D. Chakerian H. Groemer	3
+ PDF Chat	The Geometry of Homothetic Covering and Illumination	2018	Károly Bezdek Muhammad A. Khan	3
+	INTERSECTIONS OF BALLS AND SETS OF CONSTANT WIDTH IN FINITE‐DIMENSIONAL NORMED SPACES	2013	Horst Martini Christian Richter Margarita Spirova	3
+	Covering a plane convex body by four homothetical copies with the smallest positive ratio	1986	Marek Lassak	3
+	Orthogonality in normed linear spaces	1945	Robert James	3
+	Irreducible convex sets	1991	David Yost	3
+	A characterization of P1 spaces	1977	William J. Davis	3
+	Classical Topics in Discrete Geometry	2010	Károly Bezdek	3
+	Diametrically complete sets in Minkowski spaces	2012	J. P. Moreno Rolf Schneider	3
+	The geometry of minkowski spaces — A survey. Part II	2004	Horst Martini Konrad J. Swanepoel	3
+	Nonseparable Banach Spaces**Supported in part by GACR 201 98 1449, GACR 201 01 1198, AV 1019003 (Czech Republic) and NSERC 7926-02 (Canada).	2003	Václav Zizler	2
+	Banach Space Theory	2010	Marián Fabian Petr Habala Petr Hájek Vicente Montesinos Václav Zizler	2
+	Constructions of complete sets	2015	Pier Luigi Papini Senlin Wu	2
+	On Certain Implications Which Characterize Hilbert Space	1948	E. R. Lorch	2
+	𝖫^{2}-summand vectors in Banach spaces	2006	A. Aizpuru Francisco Javier García‐Pacheco	2
+	Special Convex Bodies	1993	Erhard Heil Horst Martini	2
+	Measures of Symmetry for Convex Sets and Stability	2015	Gábor Tóth	2
+ PDF Chat	Complete sets and completion of sets in Banach spaces	2013	Horst Martini Pier Luigi Papini Margarita Spirova	2
+ PDF Chat	Homogeneity of isosceles orthogonality and related inequalities	2011	Cuixia Hao Senlin Wu	2
+ PDF Chat	Equilateral sets in Minkowski spaces	1971	C. M. Petty	2
+	Isometric reflection vectors in Banach spaces	2004	A. Aizpuru Francisco Javier García‐Pacheco F. Rambla-Barreno	2
+	The problem of illumination of the boundary of a convex body by affine subspaces	1991	Károly Bezdek	2
+ PDF Chat	Antinorms and Radon curves	2006	Horst Martini Konrad J. Swanepoel	2
+ PDF Chat	Extension of uniformly continuous transformations and hyperconvex metric spaces	1956	N. Aronszajn Prom Panitchpakdi	2
+	Orthogonality in linear metric spaces	1935	Garrett Birkhoff	2
+ PDF Chat	Structure of the Space of Diametrically Complete Sets in a Minkowski Space	2012	J. P. Moreno Rolf Schneider	2
+	Radial Projections of Bisectors in Minkowski Spaces	2008	Horst Martini Senlin Wu	2
+	Sets of constant width in finite dimensional Banach spaces	1965	H. G. Eggleston	2
+	Solution of Hadwiger's Covering Problem for Centrally Symmetric Convex Bodies in <i>E</i> <sup>3</sup>	1984	Marek Lassak	2
+	Functionals on the spaces of convex bodies	2014	Chuanming Zong	2
+	Lipschitz selections of the diametric completion mapping in Minkowski spaces	2012	J. P. Moreno Rolf Schneider	2
+	Antipodality properties of finite sets in Euclidean space	2005	Horst Martini Valeriu Soltan	2
+	Uniformly nonsquare Banach spaces have the fixed point property for nonexpansive mappings	2005	Jesús Garcı́a-Falset Enrique Llorens-Fuster Eva M. Mazcuñán-Navarro	2
+	Porosity and unique completion in strictly convex spaces	2009	J. P. Moreno	2
+	Some properties concerning Milman's moduli	2006	Chan He Yunan Cui	2