Continuity and linearity of centralizers on a complemented algebra.
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- by Parfeny P. Saworotnow and George R. Giellis PDF
- Proc. Amer. Math. Soc. 31 (1972), 142-146 Request permission
Abstract:
Let $A$ be a semisimple complemented algebra and let $T$ be a mapping of $A$ into itself such that either $T(xy) = xTy$ or $T(xy) = (Tx)y$ holds for all $x,y \in A$. If $T$ is defined everywhere on $A$ then $T$ is a bounded linear operator.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 31 (1972), 142-146
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288585-2
- MathSciNet review: 0288585