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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 3, Pages 445-449
doi:10.1155/IJMMS.2005.445

Complemented subalgebras of the Baire-1 functions defined on the interval [0,1]

H.R. Shatery

Department of Mathematics, University of Isfahan, Isfahan 81745-163, Iran

Abstract

We prove that if the Banach algebra of bounded real Baire-1 functions (resp., small Baire class ξ), defined on [0,1], is the direct sum of two subalgebras, then one of its components contains a copy of it as a complemented subalgebra.