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] S. Ota, Some classes of q-deformed operators. J. Operator Theory 48 (2002), 151-186.
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- [3] S. Ota and F.K. Szafraniec, q-Positive definiteness and related operators. j. Math. Anal. Appl. 329 (2007), 987-997.
- [4] S. Ota, On q-deformed hyponormal operators. Math. Nachr. 248-249 (2003), 144-150.
- [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] S. Lohaj, Quasi-normal operators. Int. Journal of Math. 4 (47) (2010), 2311-2320.
- [7] J.B. Conway, The theory of subnormal operators. vol. 36. Providence, Rhode Island, USA, American Mathematical Society (1985).
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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
