Pazandeh, H., Alimohammadi, D. (2018). Surjective real-Linear uniform isometries between complex function algebras. Sahand Communications in Mathematical Analysis, (), -. doi: 10.22130/scma.2018.30145

Hadis Pazandeh; Davood Alimohammadi. "Surjective real-Linear uniform isometries between complex function algebras". Sahand Communications in Mathematical Analysis, , , 2018, -. doi: 10.22130/scma.2018.30145

Pazandeh, H., Alimohammadi, D. (2018). 'Surjective real-Linear uniform isometries between complex function algebras', Sahand Communications in Mathematical Analysis, (), pp. -. doi: 10.22130/scma.2018.30145

Pazandeh, H., Alimohammadi, D. Surjective real-Linear uniform isometries between complex function algebras. Sahand Communications in Mathematical Analysis, 2018; (): -. doi: 10.22130/scma.2018.30145

Surjective real-Linear uniform isometries between complex function algebras

Articles in Press, Accepted Manuscript , Available Online from 24 February 2018

^{}Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Arak, Iran.

Abstract

In this paper, we first give a description of a surjective unit-preserving real-linear uniform isometry $ T : A \longrightarrow B$, where $ A $ and $ B $ are complex function spaces on compact Hausdorff spaces $ X $ and $ Y $, respectively, whenever ${\rm ER}\left (A, X\right ) = {\rm Ch}\left (A, X\right )$ and ${\rm ER}\left (B, Y\right ) = {\rm Ch}\left (B, Y\right )$. Next, we give a description of $ T $ whenever $ A $ and $ B $ are complex function algebras and $ T $ does not assume to be unit-preserving.

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