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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On radial and polar Blaschke-Minkowski homomorphisms


Author: Chang-jian Zhao
Journal: Proc. Amer. Math. Soc. 141 (2013), 667-676
MSC (2010): Primary 52A40, 53A15
Published electronically: May 31, 2012
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Abstract: Brunn-Minkowski type inequalities for radial Blaschke-Minkowski homomorphisms of star bodies and polar Blaschke-Minkowski homomorphisms of convex bodies are established.


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Additional Information

Chang-jian Zhao
Affiliation: Department of Mathematics, China Jiliang University, Hangzhou 310018, People’s Republic of China
Email: chjzhao@yahoo.com.cn, chjzhao@163.com

DOI: http://dx.doi.org/10.1090/S0002-9939-2012-11318-8
PII: S 0002-9939(2012)11318-8
Keywords: Blaschke-Minkowski homomorphism, radial Blaschke-Minkowski homomorphism, polar Blaschke-Minkowski homomorphisms, radial Blaschke sum, radial Minkowski sum.
Received by editor(s): April 4, 2011
Received by editor(s) in revised form: June 4, 2011, and June 26, 2011
Published electronically: May 31, 2012
Additional Notes: This research is supported by the National Natural Science Foundation of China (10971205).
Communicated by: Alexander N. Dranishnikov
Article copyright: © Copyright 2012 American Mathematical Society