Journal of Sciences, Islamic Republic of Iran, ( ISI ), Volume (24), No (2), Year (2013-1) , Pages (165-170)

Title : ( Double Derivations, Higher Double Derivations and Automatic Continuity )

Authors: hussein mahdavian rad , Asadollah Niknam ,

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Abstract

Let  be a Banach algebra. Let  , be linear mappings on  . First we demonstrate a theorem concerning the continuity of double derivations; especially that all of ( , ) -double derivations are continuous on semi-simple Banach algebras, in certain case. Afterwards we define a new vocabulary called “ ( , ) - 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.

Keywords

, Derivation; ( ,  )-Derivation; ( ,  ) -Double derivation; Higher double derivation
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@article{paperid:1037266,
author = {Mahdavian Rad, Hussein and Niknam, Asadollah},
title = {Double Derivations, Higher Double Derivations and Automatic Continuity},
journal = {Journal of Sciences, Islamic Republic of Iran},
year = {2013},
volume = {24},
number = {2},
month = {January},
issn = {1016-1104},
pages = {165--170},
numpages = {5},
keywords = {Derivation; ( ; )-Derivation; ( ; ) -Double derivation; Higher double derivation},
}

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%0 Journal Article
%T Double Derivations, Higher Double Derivations and Automatic Continuity
%A Mahdavian Rad, Hussein
%A Niknam, Asadollah
%J Journal of Sciences, Islamic Republic of Iran
%@ 1016-1104
%D 2013

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