64
Views
0
CrossRef citations to date
0
Altmetric
Online First Articles

On inequalities for eigenvalues of 2 × 2 matrices with Schatten–von Neumann entries

Pages 145-152 | Received 15 Jun 2014, Published online: 11 Jun 2015

References

  • A. Albrecht, P. Howlett and C. Pearce, The fundamental equations for inversion of operator pencils on Banach space, J. Math. Anal. Appl. 413(1) (2014), 411–421. doi: 10.1016/j.jmaa.2013.11.060
  • Aymen Ammar, Aref Jeribi and Nedra Moalla, A note on the spectra of a 3 × 3 operator matrix and application, Ann. Funct. Anal. 4(2) (2013), 153–170. doi: 10.15352/afa/1399899533
  • Yu.M. Arlinskij, On sectorial block operator matrices, Mat. Fiz. Anal. Geom. 9 (2002), 533–571.
  • E. Bairamov, O. Cakar and Allan M. Krall, Spectral properties, including spectral singularities, of a quadratic pencil of Schr˝odinger operators on the whole real axis, Quaest. Math. 26(1) (2003), 15–30. doi: 10.2989/16073600309486040
  • A. Ben, A. Jeribi and B. Krichen, Fixed point theorems for block operator matrix and an application to a structured problem under boundary conditions of Rotenberg’s model type, Math. Slovaca 64(1) (2014), 155–174.
  • A. Biggs, and H.M. Khudaverdian, Operator pencil passing through a given operator, J. Math. Phys. 54(12) (2013), 123503, 27 pp.
  • R.F. Efendiev, Spectral analysis for one class of second-order indefinite non-selfadjoint differential operator pencil, Appl. Anal. 90(12) (2011), 1837–1849. doi: 10.1080/00036811.2010.532491
  • K.-H. Förster and M.M. Nafalska, A factorization of extremal extensions with applications to block operator matrices, Acta Math. Hungar. 129(1–2) (2010), 112–141. doi: 10.1007/s10474-010-9248-x
  • M.I. Gil’, Operator Functions and Localization of Spectra, Lecture Notes in Mathematics, Vol. 1830, Springer Verlag, Berlin, 2003.
  • M.I. Gil’, Bounds for the spectrum of analytic quasinormal operator pencils in a Hilbert space, Contemporary Mathematics 5(1) (2003), 101–118. doi: 10.1142/S0219199703000902
  • M.I. Gil’, M.I. Sums of characteristic values of compact operator pencils, J. of Math. Anal. Appl. 338 (2008), 1469–1476. doi: 10.1016/j.jmaa.2007.05.043
  • M.I. Gil’, Perturbations of polynomials with operator coefficients, Journal of Complex Analysis Volume 2013 (2013), Article ID 801382, 5 pp.
  • I. Gohberg and M.G. Krein, Introduction to the Theory of Linear Nonselfadjoint Operators, Trans. Mathem. Monographs, Vol. 18, Amer. Math. Soc., Providence, R.I., 1969.
  • A. Jeribi, N. Moalla and I. Walha, Spectra of some block operator matrices and application to transport operators, J. Math. Anal. Appl. 351(1) (2009), 315–325. doi: 10.1016/j.jmaa.2008.09.074
  • A. Konstantinov and R. Mennicken, On the Friedrichs extension of some block operator matrices, Integral Equations Operator Theory 42 (2002), 472–481. doi: 10.1007/BF01270924
  • L. Rodman, An Introduction to Operator Polynomials, Birkhäuser Verlag, Basel, 1989. doi: 10.1007/978-3-0348-9152-3
  • D. Tsedenbayar, D. Batnasan and L. Hadhuu, An interpolation of polynomials with application to some Volterra operator pencils, J. of Mathematics and Applications 32 (2010), 91–94.
  • Chuan Fu Yang, New trace formulae for a quadratic pencil of the Schrödinger operator, J. Math. Phys. 51(3) (2010), 033506, 10 pp. doi: 10.1063/1.3327835

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.