Bilkent Üniversitesi Analiz Seminerleri
Faber bases in spaces of continuous functions on small sets
Alexander Goncharov
Bilkent University, Türkiye
Polynomial topological basis (Pn)n=0 in a function space is called a
Faber basis if deg Pn = n for each n. Due to Faber, the space C[0,1] does
not possess such bases. On the other hand, Faber bases were presented for
some spaces of continuous functions defined on small compact sets. We review
related results and discuss open problems in the field.
