Dense 2-generator subsemigroups of 2 x 2 matrices

被引：2
作者：
Javaheri, Mohammad [1 ]
机构：
[1] Siena Coll, Sch Sci, Dept Math, Loudonville, NY 12211 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 387卷 / 01期
关键词：
Dense subsemigroups; Linear fractional transformations; SUBGROUPS; ORBITS; SEMIGROUPS; OPERATORS; ELEMENTS; TUPLES;
D O I：
10.1016/j.jmaa.2011.08.063
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：103 / 113
页数：11
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