Volume 3, Issue 1 (6-2022)
MACO 2022, 3(1): 43-48 |
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MOORTHY C G, SIVA G. Automatic Continuity of Surjective Almost Derivations on Frechet Q-Algebras. MACO 2022; 3 (1) :43-48
URL: http://maco.lu.ac.ir/article-1-96-en.html
URL: http://maco.lu.ac.ir/article-1-96-en.html
Abstract: (854 Views)
In 1971 R. L. Carpenter proved that every derivation T on a semisimple commutative Frechet algebra A with identity is continuous. By relaxing the commutativity assumption on A and adding the surjectivity assumption on T, we derive a corresponding continuity result, for a new concept of almost derivations on Frechet algebras in this article. Also, it is further proved that every surjective almost derivation T on non commutative semisimple Frechet Q-algebras A with an additional condition on A, is continuous. Moreover, an example is provided to illustrate our main result.
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