DOUBLE DERIVATIONS, HIGHER DOUBLE DERIVATIONS AND AUTOMATIC CONTINUITY

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MAHDAVIAN RAD H.; NIKNAM A.

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ISSN: 2588-4824

Journal Paper

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Journal: Journal of Sciences, Islamic Republic of Iran Year:2013 | Volume:24 | Issue:2 Page(s): 165-170

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Title

DOUBLE DERIVATIONS, HIGHER DOUBLE DERIVATIONS AND AUTOMATIC CONTINUITY

Author(s)

MAHDAVIAN RAD H. | NIKNAM A. | Issue Writer Certificate

Keywords

DERIVATION

(σ

τ)-DERIVATION

(δ

ε) -DOUBLE DERIVATION

HIGHER DOUBLE DERIVATION

Abstract

Let A be a Banach algebra. Let d, e be linear mappings on A. First we demonstrate a theorem concerning the continuity of double DERIVATIONs; especially that all of (d, e) -double DERIVATIONs are continuous on semi-simple Banach algebras, in certain case. Afterwards we define a new vocabulary called “(d, e) - higher double DERIVATION" and present a relation between this subject and DERIVATIONs and finally give some theorems and corollaries about the automatic continuity of this notion.

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APA: Copy

MAHDAVIAN RAD, H., & NIKNAM, A.. (2013). DOUBLE DERIVATIONS, HIGHER DOUBLE DERIVATIONS AND AUTOMATIC CONTINUITY. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, 24(2), 165-170. SID. https://sid.ir/paper/606273/en

Vancouver: Copy

MAHDAVIAN RAD H., NIKNAM A.. DOUBLE DERIVATIONS, HIGHER DOUBLE DERIVATIONS AND AUTOMATIC CONTINUITY. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN[Internet]. 2013;24(2):165-170. Available from: https://sid.ir/paper/606273/en

IEEE: Copy

H. MAHDAVIAN RAD, and A. NIKNAM, “DOUBLE DERIVATIONS, HIGHER DOUBLE DERIVATIONS AND AUTOMATIC CONTINUITY,” JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, vol. 24, no. 2, pp. 165–170, 2013, [Online]. Available: https://sid.ir/paper/606273/en

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