Dense 2-generator subsemigroups of 2 x 2 matrices

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:387

Article

Javaheri, Mohammad

关键词: Dense subsemigroups;    Linear fractional transformations;   

DOI  :  10.1016/j.jmaa.2011.08.063

来源: Elsevier

【 摘 要 】

We construct explicit examples of 2-generator dense subsemigroups of CL(2, R) and SL(2, R). In the complex case, we prove the existence of uncountably many 2-generator dense subsemigroups of GL(2, C). We also show that the semigroup of real linear fractional transformations on a proper subinterval of the real line does not admit any 2-generator dense subsemigroups, and then we construct a 3-parameter family of examples of 3-generator dense subsemigroups. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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