Research Article

Lorentz-Schatten classes of direct sum of operators

Volume: 49 Number: 2 April 2, 2020
EN

Lorentz-Schatten classes of direct sum of operators

Abstract

In this paper, the relations between Lorentz-Schatten property of the direct sum of operators and Lorentz-Schatten property of its coordinate operators are studied. Then, the results are supported by applications.

Keywords

References

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  3. [3] F. Cobos, D.D. Haroske, T. Kühn and T. Ullrich, Mini-workshop: modern applications of s-numbers and operator ideals, Mathematisches Forschungs Institute Oberwolfach, Germany, 369-397, 8-14 February 2015.
  4. [4] N. Dunford and J.T. Schwartz, Linear Operators I, Interscience Publishers, 1958.
  5. [5] I.C. Gohberg and M.G. Krein, Introduction to the Theory of Linear Non-Selfadjoint Operators in Hilbert Space, American Mathematical Society, 1969.
  6. [6] Z.I. Ismailov, Compact inverses of first-order normal differential operators, J. Math. Anal. Appl. 320, 266-278, 2006.
  7. [7] Z.I. Ismailov, Multipoint normal differential operators for first order, Opuscula Math. 29, 399-414, 2009.
  8. [8] Z.I. Ismailov, E. Otkun Çevik and E. Unluyol, Compact inverses of multipoint normal differential operators for first order, Electron. J. Differential Equations 89, 1-11, 2011.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

April 2, 2020

Submission Date

February 5, 2019

Acceptance Date

April 10, 2019

Published in Issue

Year 2020 Volume: 49 Number: 2

APA
Ipek Al, P. (2020). Lorentz-Schatten classes of direct sum of operators. Hacettepe Journal of Mathematics and Statistics, 49(2), 835-842. https://doi.org/10.15672/hujms.522814
AMA
1.Ipek Al P. Lorentz-Schatten classes of direct sum of operators. Hacettepe Journal of Mathematics and Statistics. 2020;49(2):835-842. doi:10.15672/hujms.522814
Chicago
Ipek Al, Pembe. 2020. “Lorentz-Schatten Classes of Direct Sum of Operators”. Hacettepe Journal of Mathematics and Statistics 49 (2): 835-42. https://doi.org/10.15672/hujms.522814.
EndNote
Ipek Al P (April 1, 2020) Lorentz-Schatten classes of direct sum of operators. Hacettepe Journal of Mathematics and Statistics 49 2 835–842.
IEEE
[1]P. Ipek Al, “Lorentz-Schatten classes of direct sum of operators”, Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 2, pp. 835–842, Apr. 2020, doi: 10.15672/hujms.522814.
ISNAD
Ipek Al, Pembe. “Lorentz-Schatten Classes of Direct Sum of Operators”. Hacettepe Journal of Mathematics and Statistics 49/2 (April 1, 2020): 835-842. https://doi.org/10.15672/hujms.522814.
JAMA
1.Ipek Al P. Lorentz-Schatten classes of direct sum of operators. Hacettepe Journal of Mathematics and Statistics. 2020;49:835–842.
MLA
Ipek Al, Pembe. “Lorentz-Schatten Classes of Direct Sum of Operators”. Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 2, Apr. 2020, pp. 835-42, doi:10.15672/hujms.522814.
Vancouver
1.Pembe Ipek Al. Lorentz-Schatten classes of direct sum of operators. Hacettepe Journal of Mathematics and Statistics. 2020 Apr. 1;49(2):835-42. doi:10.15672/hujms.522814

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