Characterization of n– Jordan homomorphisms on Banach algebras

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

Zivari Kazem Pour Abbas; BODAGHI ABASALT

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2018 | Volume:4 | Issue:13 Page(s): 69-74

Download Full-Text

Persian Verion

View:

363

Download:

Cites:

Information Journal Paper

Title

Characterization of n– Jordan homomorphisms on Banach algebras

Author(s)

Zivari Kazem Pour Abbas | BODAGHI ABASALT | Issue Writer Certificate

Keywords

n-homomorphismQ1

n-Jordan homomorphismQ1

AlgebraQ1

Abstract

In this paper we prove that every n-Jordan homomorphis varphi: mathcal {A} longrightarrowmathcal {B} from unital Banach Algebras mathcal {A} into varphi-commutative Banach Algebra mathcal {B} satisfiying the condition varphi (x^2)=0 Longrightarrow varphi (x)=0, xin mathcal {A}, is an n-homomorphism. In this paper we prove that every n-Jordan homomorphism varphi: mathcal {A} longrightarrowmathcal {B} from unital Banach Algebras $mathcal{A} into varphi$-commutative Banach Algebra $mathcal {B}. satisfiying the condition varphi (x^2)=0 Longrightarrow varphi (x)=0, xin mathcal {A}, is an n-homomorphism. This result was proved in cite {zivari1} for 3-Jordan homomorphism with the additional hypothesis that the Banach Algebra mathcal {A} is unital, and it is extended for all nin mathbb {N} in cite {An}. Later, for nin lbrace 3, 4 rbrace, Theorem ref {T1} proved in cite {Bodaghi1} by considering an extra condition varphi (ab^2)= varphi (b^2a), (a, bin mathcal {A}). Some significant results concerning Jordan homomorphisms and their automatic continuity on Banach Algebras obtained by the author in cite {zivari}, cite {zivari2} and cite {zivari3}. In this paper, under special hypotheses we prove that every n-Jordan homomorphism varphi from Banach Algebra mathcal {A} into Banach Algebra mathcal {B} is an n-homomorphism.

Cites

No record.

References

No record.

Cite

APA: Copy

Zivari Kazem Pour, Abbas, & BODAGHI, ABASALT. (2018). Characterization of n– Jordan homomorphisms on Banach algebras. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 4(13 ), 69-74. SID. https://sid.ir/paper/257358/en

Vancouver: Copy

Zivari Kazem Pour Abbas, BODAGHI ABASALT. Characterization of n– Jordan homomorphisms on Banach algebras. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2018;4(13 ):69-74. Available from: https://sid.ir/paper/257358/en

IEEE: Copy

Abbas Zivari Kazem Pour, and ABASALT BODAGHI, “Characterization of n– Jordan homomorphisms on Banach algebras,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 4, no. 13 , pp. 69–74, 2018, [Online]. Available: https://sid.ir/paper/257358/en

Related Journal Papers