Research Article

GENERALIZED STOLZ MAPPINGS

Volume: 5 Number: 2 October 2, 2017
EN

GENERALIZED STOLZ MAPPINGS

Abstract

In this paper, we introduce the class of generalized Stolz mappings. Also we prove that the class of $\ell ^{p}-$-type mappings is included in the class of generalized Stolz mappings and give a new quasinorm equivalent with $\Vert T\Vert_{\phi_{(p)}}$. Finally, we present some properties of the class of generalized Stolz mappings.

Keywords

References

  1. [1] A. Pietsch, Einigie neu Klassen von Kompakten linearen Abbildungen, revue Roum. Math. Pures et Appl., 8, 427-447, 1963.
  2. [2] A. Pietsch, s-Numbers of operators in Banach spaces, Studia Mathematica, 51(3), 201-223,1974.
  3. [3] B.Carl,A.Hinrichs, On s-numbers and Weyl inequalities of operators in Banach spaces, Bull.Lond. Math. Soc., 41(2), 332-340, 2009.
  4. [4] B.Carl, On s-numbers,quasi s-numbers, s-moduli andWeyl inequalities of operators in Banach spaces, Rev. Mat. Complut., 23, 467-487, 2010.
  5. [5] E. Evren Kara, Merve İlkhan, On a new class of s-type operators, Konuralp Journal of Mathematics, 3(1), 1-11, 2015
  6. [6] G.Constantin, Operators of Ces-p-type, Rend. Accad.Naz.Lincei Sc. Fis. Mat.Nat., 52, 875-878, 1973
  7. [7] I.Gohberg, M.Krein, Introduction to the theory of non-selfadjoint operators, A.M.S. Providence ,1969
  8. [8] K.Iseki, A new class of mappings, Stolz mappings,Math.Japon., 3, 275-278, 1974.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

October 2, 2017

Submission Date

September 7, 2017

Acceptance Date

September 22, 2017

Published in Issue

Year 2017 Volume: 5 Number: 2

APA
Zengin Alp, P., İlkhan, M., & Kara, E. E. (2017). GENERALIZED STOLZ MAPPINGS. Konuralp Journal of Mathematics, 5(2), 12-18. https://izlik.org/JA88PK43KS
AMA
1.Zengin Alp P, İlkhan M, Kara EE. GENERALIZED STOLZ MAPPINGS. Konuralp J. Math. 2017;5(2):12-18. https://izlik.org/JA88PK43KS
Chicago
Zengin Alp, Pinar, Merve İlkhan, and Emrah Evren Kara. 2017. “GENERALIZED STOLZ MAPPINGS”. Konuralp Journal of Mathematics 5 (2): 12-18. https://izlik.org/JA88PK43KS.
EndNote
Zengin Alp P, İlkhan M, Kara EE (October 1, 2017) GENERALIZED STOLZ MAPPINGS. Konuralp Journal of Mathematics 5 2 12–18.
IEEE
[1]P. Zengin Alp, M. İlkhan, and E. E. Kara, “GENERALIZED STOLZ MAPPINGS”, Konuralp J. Math., vol. 5, no. 2, pp. 12–18, Oct. 2017, [Online]. Available: https://izlik.org/JA88PK43KS
ISNAD
Zengin Alp, Pinar - İlkhan, Merve - Kara, Emrah Evren. “GENERALIZED STOLZ MAPPINGS”. Konuralp Journal of Mathematics 5/2 (October 1, 2017): 12-18. https://izlik.org/JA88PK43KS.
JAMA
1.Zengin Alp P, İlkhan M, Kara EE. GENERALIZED STOLZ MAPPINGS. Konuralp J. Math. 2017;5:12–18.
MLA
Zengin Alp, Pinar, et al. “GENERALIZED STOLZ MAPPINGS”. Konuralp Journal of Mathematics, vol. 5, no. 2, Oct. 2017, pp. 12-18, https://izlik.org/JA88PK43KS.
Vancouver
1.Pinar Zengin Alp, Merve İlkhan, Emrah Evren Kara. GENERALIZED STOLZ MAPPINGS. Konuralp J. Math. [Internet]. 2017 Oct. 1;5(2):12-8. Available from: https://izlik.org/JA88PK43KS
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