Real linear maps preserving some complex subspaces

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• 作者：Adam Coffman (1)
  
  1. Department of Mathematical Sciences ; Indiana University-Purdue University Fort Wayne ; 2101 E. Coliseum Blvd. ; Fort Wayne ; IN ; 46805-1499 ; USA
  
• 关键词：Line preserving map ; Complex structure operator ; Cross ; ratio ; Configuration of subspaces ; Primary 15A04 ; Secondary 15A24 ; 14N20 ; 53A60
• 刊名：Beitr?ge zur Algebra und Geometrie / Contributions to Algebra and Geometry
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：56
• 期：1
• 页码：159-173
• 全文大小：203 KB
• 参考文献：1. Arnold, V.I.: Complexification of a tetrahedron and pseudoprojective transformations (translated) Funct. Anal. Appl. 35(4), 241鈥?46 (2001)
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Algebra
  Convex and Discrete Geometry
  Geometry
  Algebraic Geometry
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：2191-0383

文摘

We find configurations of subspaces of a complex vector space such that any real linear map with sufficiently high rank that maps the subspaces into complex subspaces of the same dimension must be complex linear or antilinear.