Automatic Continuity of Almost Derivations on Frechet $Q$-Algebras

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Communications in Advanced Mathematical Sciences
Volume:5 Issue:2
Automatic Continuity of Almost Derivations on Frechet $Q$-Algebras

Automatic Continuity of Almost Derivations on Frechet $Q$-Algebras

Authors : Ganesa Moorthy C, Sıva G

Pages : 88-91

Doi:10.33434/cams.1032315

View : 34 | Download : 8

Publication Date : 2022-06-30

Article Type : Research Paper

Abstract :In 1971 R. L. Carpenter proved that every derivation on a semisimple commutative Frechet algebra with identity is continuous. The concept of almost derivations on Frechet algebras is introduced in this article. Also, R. L. Carpenter result motivates us to ask an open question: Is every almost derivation on semisimple commutative Frechet algebras continuous?. Moreover, a partial answer to this open question is derived in the sense that every almost derivation T on semisimple commutative Frechet Q-algebras A, with an additional condition on A, is continuous. Furthermore, an example is provided to illustrate our main result.
Keywords : Automatic continuity, Almost derivation, Frechet Q algebras

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.