Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (5): 1188-1195.

• Articles • Previous Articles     Next Articles

Invertibility of Formal Hamiltonian Operators with Unbounded Entries

 Qi Ya-Ru1,2, HUANG Jun-Jie1, Alatancang1,3**   

  1. 1.School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021|2.College of Sciences of Inner Mongolia University of Technology, Hohhot 010051|3.Huhhot |University for Nationalities, Hohhot 010051
  • Received:2012-12-07 Revised:2013-12-17 Online:2014-10-25 Published:2014-10-25
  • Supported by:

    国家自然科学基金(11061019)、高等学校博士学科点专项科研基金(20111501110001)、教育部“春晖”计划项目(Z2009-1-01010)、内蒙古自然科学基金重大项目(2013ZD01)、内蒙古自然科学基金杰出青年项目(2013JQ01)和内蒙古自治区高等学校青年科技英才支持计划(NJYT-12-B06)资助.

Abstract:

Using the operator block technique, we investigate the invertibility and the invertible completion of formal Hamiltonian operators (not necessarily bounded) with natural domain. Also, the analogous results for Hamiltonian operators are further presented.

Key words: Formal Hamiltonian operator, Invertibility, Invertible completion

CLC Number: 

  • 47A05
Trendmd