H. R. Shatery, "Complemented subalgebras of the Baire- functions defined on the interval ", International Journal of Mathematics and Mathematical Sciences, vol. 2005, Article ID 602379, 5 pages, 2005. https://doi.org/10.1155/IJMMS.2005.445
Complemented subalgebras of the Baire- functions defined on the interval
We prove that if the Banach algebra of bounded real Baire-1 functions (resp., small Baire class ), defined on , is the direct sum of two subalgebras, then one of its components contains a copy of it as a complemented subalgebra.
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