On a Perturbation Determinant for Accumulative Operators

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• 作者：Konstantin A. Makarov (1)
  Anna Skripka (2)
  Maxim Zinchenko (2)
  
  1. Department of Mathematics ; University of Missouri ; Columbia ; MO ; 65211 ; USA
  2. Department of Mathematics and Statistics ; University of New Mexico ; Albuquerque ; NM ; 87131 ; USA
  
• 关键词：Primary 47B44 ; 47A10 ; Secondary 47A20 ; 47A40
• 刊名：Integral Equations and Operator Theory
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：81
• 期：3
• 页码：301-317
• 全文大小：285 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  
• 出版者：Birkh盲user Basel
• ISSN：1420-8989

文摘

For a purely imaginary sign-definite perturbation of a self-adjoint operator, we obtain exponential representations for the perturbation determinant in both upper and lower half-planes and derive respective trace formulas.