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Linear and Multilinear Algebra Volume 64, 2016 - Issue 1: WONRA 2014
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Articles

Determinantal polynomials of a weighted shift operator

Mao-Ting ChienDepartment of Mathematics, Soochow University, Taipei, Taiwan.Correspondence[email protected]
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,
Hiroshi NakazatoFaculty of Science and Technology, Department of Mathematical Sciences, Hirosaki University, Hirosaki, Japan.View further author information
,
Batzorig UndrakhInstitute of Mathematics, National University of Mongolia, Ulaanbaatar, Mongolia.View further author information
&
Adiyasuren VandanjavDepartment of Mathematics, National University of Mongolia, Ulaanbaatar, Mongolia.View further author information
Pages 2-13 | Received 11 Sep 2014, Accepted 27 Dec 2014, Published online: 21 Jan 2015

References

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  • Chien MT, Nakazato H. The numerical radius of a weighted shift operator with geometric weights. Elect. J. Linear Algebra. 2009;18:58–63.
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  • Vandanjav A, Undrakh B. On the numerical range of some weighted shift matrices and operators. Linear Algebra Appl. 2014;449:76–88.
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  • Ridge W. Numerical range of a weighted shift with periodic weights. Proc. Amer. Math. Soc. 1976;55:107–110.
  • Undrakh B, Nakazato H, Vandanjav A, Chien MT. The numerical radius of a weighted shift operator. 2014; preprint.
  • Walker R. Algebraic curves. Princeton (NJ): Princeton University Press; 1950.
  • Lustig G. Introduction to quntum groups. Basel: Birkhäuser; 1993.

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