Research Article

$q$-Quasinormal Operators and Its Extended Eigenvalues

Volume: 2 Number: 1 April 30, 2020
EN

$q$-Quasinormal Operators and Its Extended Eigenvalues

Abstract

In this paper, the relation between q-deformed quasinormal operators and q-quasinormal operator classes is investigated. Moreover, we proof that these are same. Also, we consider the extended eigenvalue problems for bounded $q$-quasinormal operators.

Keywords

References

  1. [1] S. Ota, Some classes of q-deformed operators. J. Operator Theory 48 (2002), 151-186.
  2. [2] S. Ota and F.K. Szafraniec , Notes on q-deformed operators. Studia Mathematica 165 (3) (2004) , 295-301.
  3. [3] S. Ota and F.K. Szafraniec, q-Positive definiteness and related operators. j. Math. Anal. Appl. 329 (2007), 987-997.
  4. [4] S. Ota, On q-deformed hyponormal operators. Math. Nachr. 248-249 (2003), 144-150.
  5. [5] J. Cimpric, Y. Savchuk and K. Schmudgen, On q-normal operators and quantum complex plane. Trans. Amer. Math. Soc. 366 (2014), 135-158.
  6. [6] S. Lohaj, Quasi-normal operators. Int. Journal of Math. 4 (47) (2010), 2311-2320.
  7. [7] J.B. Conway, The theory of subnormal operators. vol. 36. Providence, Rhode Island, USA, American Mathematical Society (1985).
  8. [8] A. Biswas, A. Lambert and S. Petrovic, Extended eigenvalues and Volterra operators. Glasgn Math. J. 44 (2002), 521-534.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

April 30, 2020

Submission Date

January 16, 2020

Acceptance Date

April 28, 2020

Published in Issue

Year 2020 Volume: 2 Number: 1

APA
Sertbaş, M., & Yılmaz, F. (2020). $q$-Quasinormal Operators and Its Extended Eigenvalues. Maltepe Journal of Mathematics, 2(1), 9-13. https://izlik.org/JA68AX88CB
AMA
1.Sertbaş M, Yılmaz F. $q$-Quasinormal Operators and Its Extended Eigenvalues. Maltepe Journal of Mathematics. 2020;2(1):9-13. https://izlik.org/JA68AX88CB
Chicago
Sertbaş, Meltem, and Fatih Yılmaz. 2020. “$q$-Quasinormal Operators and Its Extended Eigenvalues”. Maltepe Journal of Mathematics 2 (1): 9-13. https://izlik.org/JA68AX88CB.
EndNote
Sertbaş M, Yılmaz F (April 1, 2020) $q$-Quasinormal Operators and Its Extended Eigenvalues. Maltepe Journal of Mathematics 2 1 9–13.
IEEE
[1]M. Sertbaş and F. Yılmaz, “$q$-Quasinormal Operators and Its Extended Eigenvalues”, Maltepe Journal of Mathematics, vol. 2, no. 1, pp. 9–13, Apr. 2020, [Online]. Available: https://izlik.org/JA68AX88CB
ISNAD
Sertbaş, Meltem - Yılmaz, Fatih. “$q$-Quasinormal Operators and Its Extended Eigenvalues”. Maltepe Journal of Mathematics 2/1 (April 1, 2020): 9-13. https://izlik.org/JA68AX88CB.
JAMA
1.Sertbaş M, Yılmaz F. $q$-Quasinormal Operators and Its Extended Eigenvalues. Maltepe Journal of Mathematics. 2020;2:9–13.
MLA
Sertbaş, Meltem, and Fatih Yılmaz. “$q$-Quasinormal Operators and Its Extended Eigenvalues”. Maltepe Journal of Mathematics, vol. 2, no. 1, Apr. 2020, pp. 9-13, https://izlik.org/JA68AX88CB.
Vancouver
1.Meltem Sertbaş, Fatih Yılmaz. $q$-Quasinormal Operators and Its Extended Eigenvalues. Maltepe Journal of Mathematics [Internet]. 2020 Apr. 1;2(1):9-13. Available from: https://izlik.org/JA68AX88CB

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