Skip to main content

Three Questions About Complex Symmetric Operators

Abstract

We pose three questions about the structure and application of complex symmetric operators.

This is a preview of subscription content, access via your institution.

References

  1. Garcia S.R.: Approximate antilinear eigenvalue problems and related inequalities. Proc. Am. Math. Soc. 136(1), 171–179 (2008)

    Article  MATH  Google Scholar 

  2. Garcia S.R.: The norm and modulus of a Foguel operator. Indiana Univ. Math. J. 58(5), 2305–2315 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  3. Garcia S.R., Putinar M.: Complex symmetric operators and applications II. Trans. Am. Math. Soc. 359(8), 3913–3931 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  4. Prodan E., Garcia S.R., Putinar M.: Norm estimates of complex symmetric operators applied to quantum systems. J. Phys. A 39(2), 389–400 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  5. Garcia, S.R., Tener, J.: Unitary equivalence of a matrix to its transpose. J. Oper. Theory (2011, in press). arXiv:0908.2107

  6. Garcia, S.R., Ross, W.T.: Recent progress on truncated Toeplitz operators. Preprint. arXiv:1108.1858

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Stephan R. Garcia.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Garcia, S.R. Three Questions About Complex Symmetric Operators. Integr. Equ. Oper. Theory 72, 3–4 (2012). https://doi.org/10.1007/s00020-011-1931-y

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00020-011-1931-y

Mathematics Subject Classification (2010)

  • 47A05
  • 47B35
  • 47B99

Keywords

  • Complex symmetric operator
  • conjugation
  • singular values
  • norm
  • truncated Toeplitz operator