Open AccessComplemented subalgebras of the Baire‐1 functions defined on the interval [0, 1]
Author(s) -
H. R. Shatery
Publication year - 2005
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms.2005.445
Subject(s) - mathematics , algorithm , database , computer science
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
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