IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2015y2015i1n594075.html

Approximate Derivations with the Radical Ranges of Noncommutative Banach Algebras

Author

Listed:
  • Jaiok Roh
  • Ick-Soon Chang

Abstract

We consider the derivations on noncommutative Banach algebras, and we will first study the conditions for a derivation on noncommutative Banach algebra. Then, we examine the stability of functional inequalities with a derivation. Finally, we take the derivations with the radical ranges on noncommutative Banach algebras.

Suggested Citation

  • Jaiok Roh & Ick-Soon Chang, 2015. "Approximate Derivations with the Radical Ranges of Noncommutative Banach Algebras," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:594075
    DOI: 10.1155/2015/594075
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2015/594075
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/594075?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Soon-Mo Jung, 2011. "Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis," Springer Optimization and Its Applications, Springer, number 978-1-4419-9637-4, January.
    2. Ick-Soon Chang, 2012. "Higher Ring Derivation and Intuitionistic Fuzzy Stability," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-16, July.
    3. Muhammad Anwar Chaudhry & A. B. Thaheem, 2004. "A note on a pair of derivations of semiprime rings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-6, January.
    4. Ick-Soon Chang, 2012. "Higher Ring Derivation and Intuitionistic Fuzzy Stability," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ajda Fošner & Maja Fošner, 2013. "Approximate Cubic Lie Derivations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Abdellatif Benchaib & Abdelkrim Salim & Saïd Abbas & Mouffak Benchohra, 2023. "New Stability Results for Abstract Fractional Differential Equations with Delay and Non-Instantaneous Impulses," Mathematics, MDPI, vol. 11(16), pages 1-19, August.
    3. M. Eshaghi Gordji & H. Khodaei & Y. W. Lee & G. H. Kim, 2012. "Approximation of Mixed‐Type Functional Equations in Menger PN‐Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    4. Soon-Mo Jung & Yang-Hi Lee, 2017. "A Fixed Point Approach to the Stability of a Mean Value Type Functional Equation," Mathematics, MDPI, vol. 5(4), pages 1-9, December.
    5. Yang-Hi Lee & Soon-Mo Jung, 2013. "Generalized Hyers‐Ulam Stability of a Mixed Type Functional Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    6. Yang-Hi Lee & Soon-Mo Jung, 2012. "A Fixed Point Approach to the Stability of an n‐Dimensional Mixed‐Type Additive and Quadratic Functional Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    7. Soon-Mo Jung & Ji-Hye Kim, 2018. "Hyers-Ulam Stability of Lagrange’s Mean Value Points in Two Variables," Mathematics, MDPI, vol. 6(11), pages 1-8, October.
    8. Soon-Mo Jung & Ki-Suk Lee & Michael Th. Rassias & Sung-Mo Yang, 2020. "Approximation Properties of Solutions of a Mean Value-Type Functional Inequality, II," Mathematics, MDPI, vol. 8(8), pages 1-8, August.
    9. Yonghong Shen & Yaoyao Lan & Wei Chen, 2014. "Hyers‐Ulam‐Rassias Stability of Some Additive Fuzzy Set‐Valued Functional Equations with the Fixed Point Alternative," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    10. Hark-Mahn Kim & Kil-Woung Jun & Eunyoung Son, 2013. "Generalized Hyers‐Ulam Stability of Quadratic Functional Inequality," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    11. Abasalt Bodaghi & Sang Og Kim, 2013. "Stability of a Functional Equation Deriving from Quadratic and Additive Functions in Non‐Archimedean Normed Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    12. Zhuoyan Gao & JinRong Wang, 2017. "Hyers‐Ulam Stability and Existence of Solutions for Nigmatullin’s Fractional Diffusion Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2017(1).
    13. Jagan Mohan Jonnalagadda, 2016. "Hyers-Ulam Stability of Fractional Nabla Difference Equations," International Journal of Analysis, Hindawi, vol. 2016, pages 1-5, September.
    14. Tian Zhou Xu, 2013. "Approximate Multi‐Jensen, Multi‐Euler‐Lagrange Additive and Quadratic Mappings in n‐Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    15. Soo Hwan Kim, 2016. "Stability of the Cauchy Additive Functional Equation on Tangle Space and Applications," Advances in Mathematical Physics, John Wiley & Sons, vol. 2016(1).
    16. Qusuay H. Alqifiary & Soon-Mo Jung, 2014. "On the Hyers‐Ulam Stability of Differential Equations of Second Order," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    17. Jae-Hyeong Bae & Won-Gil Park, 2012. "A Fixed Point Approach to the Stability of a Cauchy‐Jensen Functional Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    18. Soon-Mo Jung, 2013. "A Fixed Point Approach to the Stability of an Integral Equation Related to the Wave Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    19. Chinnaappu Muthamilarasi & Shyam Sundar Santra & Ganapathy Balasubramanian & Vediyappan Govindan & Rami Ahmad El-Nabulsi & Khaled Mohamed Khedher, 2021. "The Stability Analysis of A-Quartic Functional Equation," Mathematics, MDPI, vol. 9(22), pages 1-16, November.
    20. Yang-Hi Lee & Soon-Mo Jung, 2012. "Stability of an n‐Dimensional Mixed‐Type Additive and Quadratic Functional Equation in Random Normed Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:594075. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.