Square root and 3rd root functional equations in C -algebras

Choonkil Park, Sun Young Jang, Jieun Ahn

Research output: Contribution to journalArticleResearchpeer-review

Abstract

In this paper, we introduce a square root functional equation and a 3rd root functional equation. We prove the Hyers-Ulam stability of the square root functional equation and of the 3rd root functional equation in C -algebras.

Original languageEnglish
Pages (from-to)1004-1010
Number of pages7
JournalJournal of Computational Analysis and Applications
Volume28
Issue number6
StatePublished - 2020 Dec 1

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Square root
Algebra
C*-algebra
Functional equation
Roots
Hyers-Ulam Stability

Keywords

  • 3rd root functional equation
  • C -algebra
  • Hyers-Ulam stability
  • Square root functional equation

Cite this

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title = "Square root and 3rd root functional equations in C ∗ -algebras",
abstract = "In this paper, we introduce a square root functional equation and a 3rd root functional equation. We prove the Hyers-Ulam stability of the square root functional equation and of the 3rd root functional equation in C ∗ -algebras.",
keywords = "3rd root functional equation, C -algebra, Hyers-Ulam stability, Square root functional equation",
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month = "12",
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language = "English",
volume = "28",
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journal = "Journal of Computational Analysis and Applications",
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Square root and 3rd root functional equations in C -algebras . / Park, Choonkil; Jang, Sun Young; Ahn, Jieun.

In: Journal of Computational Analysis and Applications, Vol. 28, No. 6, 01.12.2020, p. 1004-1010.

Research output: Contribution to journalArticleResearchpeer-review

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T1 - Square root and 3rd root functional equations in C ∗ -algebras

AU - Park, Choonkil

AU - Jang, Sun Young

AU - Ahn, Jieun

PY - 2020/12/1

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N2 - In this paper, we introduce a square root functional equation and a 3rd root functional equation. We prove the Hyers-Ulam stability of the square root functional equation and of the 3rd root functional equation in C ∗ -algebras.

AB - In this paper, we introduce a square root functional equation and a 3rd root functional equation. We prove the Hyers-Ulam stability of the square root functional equation and of the 3rd root functional equation in C ∗ -algebras.

KW - 3rd root functional equation

KW - C -algebra

KW - Hyers-Ulam stability

KW - Square root functional equation

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