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Linear and Multilinear Algebra Volume 62, 2014 - Issue 5: Numerical Ranges and Numerical Radii
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Articles

The numerical range of banded 2-Toeplitz operators in spaces with an indefinite metric

N. BebianoDepartment of Mathematics, CMUC, University of Coimbra, Coimbra, Portugal.Correspondence[email protected]
,
J. da ProvidênciaDepartment of Physics, University of Coimbra, Coimbra, Portugal.
&
A. NataDepartment of Mathematics, CMUC, Polytechnic Institute of Tomar, Tomar, Portugal.
Pages 659-673 | Received 26 Sep 2012, Accepted 14 Jan 2013, Published online: 26 Feb 2013

References

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  • Chien MT, Nakazato H. The numerical range of a tridiagonal operator. J. Math. Anal. Appl. 2011;373:297–304.
  • Li C-K, Tsing NK, Uhlig F. Numerical ranges of an operator on an indefinite inner product space. Electron. J. Linear Algebra. 1996;1:1–17.
  • Bebiano N, Lemos R, Providência J, Soares G. On generalized numerical ranges of operators on an indefinite inner product space. Linear Multilinear Algebra. 2004;52:203–233.
  • Bebiano N, Nakazato H, Providência J, Lemos R, Soares G. Inequalities for Hermitian matrices. Linear Algebra Appl. 2005;407:125–139.
  • Li C-K, Rodman L. Remarks of numerical ranges of operators in spaces with an indefinite inner product. Proc. Am. Math. Soc. 1998;126:973–982.
  • Li C-K, Rodman L. Shapes and computer generation of numerical ranges of Krein space operators. Electron. J. Linear Algebra. 1998;3:31–47.
  • Bebiano N, Spitkovsky I. Numerical ranges of Toeplitz operators with matrix symbols. Linear Algebra Appl. 2012;436:1721–1726.

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