AUTOMATIC CONTINUITY OF HIGHER DERIVATIONS ON JB*-ALGEBRAS

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HEJAZIAN SH.; SHATERY T.L.

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Journal Paper

Paper Information

Journal: Bulletin of the Iranian Mathematical Society Year:2007 | Volume:33 | Issue:1 Page(s): 11-23

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Title

AUTOMATIC CONTINUITY OF HIGHER DERIVATIONS ON JB*-ALGEBRAS

Author(s)

HEJAZIAN SH. | SHATERY T.L. | Issue Writer Certificate

Keywords

DERIVATION

HIGHER DERIVATION

JORDAN MODULE

JB*-ALGEBRA

Abstract

In this paper we study higher DERIVATIONs from JB*-algebras into Banach Jordan algebras. We show that every higher DERIVATION {dm} from a JB*-algebra A into a JB*-algebra B is continuous provided that dO is a *-homomorphism. Also it is proved that every Jordan higher DERIVATION from a commutative C*-algebra or from a C*-algebra which has minimal idempotent and is the closure of its socle is continuous.

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APA: Copy

HEJAZIAN, SH., & SHATERY, T.L.. (2007). AUTOMATIC CONTINUITY OF HIGHER DERIVATIONS ON JB*-ALGEBRAS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 33(1), 11-23. SID. https://sid.ir/paper/537036/en

Vancouver: Copy

HEJAZIAN SH., SHATERY T.L.. AUTOMATIC CONTINUITY OF HIGHER DERIVATIONS ON JB*-ALGEBRAS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2007;33(1):11-23. Available from: https://sid.ir/paper/537036/en

IEEE: Copy

SH. HEJAZIAN, and T.L. SHATERY, “AUTOMATIC CONTINUITY OF HIGHER DERIVATIONS ON JB*-ALGEBRAS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 33, no. 1, pp. 11–23, 2007, [Online]. Available: https://sid.ir/paper/537036/en

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