Open Access
2014 Norm-additive in modulus maps between function algebras
Juan J. Font, Maliheh Hosseini
Banach J. Math. Anal. 8(2): 79-92 (2014). DOI: 10.15352/bjma/1396640053
Abstract

The main purpose of this paper is to characterize norm-additive in modulus, not necessarily linear, maps defined between function algebras (not necessarily unital or uniformly closed). In fact, for function algebras $A$ and $B$ on locally compact Hausdorff spaces $X$ and $Y$, respectively, we study surjections $T, S:A\longrightarrow B$ satisfying $\||Tf|+|Sg|\|_Y= \||f|+|g|\|_X$ for all $f,g\in A$.

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Copyright © 2014 Tusi Mathematical Research Group
Juan J. Font and Maliheh Hosseini "Norm-additive in modulus maps between function algebras," Banach Journal of Mathematical Analysis 8(2), 79-92, (2014). https://doi.org/10.15352/bjma/1396640053
Published: 2014
Vol.8 • No. 2 • 2014
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