On a paper by Khmyleva and Bukhtina

It is well know that every separable Hilbert space possesses an orthonormal Schauder bases, i.e. a Schauder bases {х } , for which ||х|| = 1 и (х ,х ) = 0 for any n,m е N , n ф m. In this (. n) n=1 II nil \ f m) j у j note, we consider a sequence of elements in a Hilbert space for which angles between any two terms are equal and different from zero. Basicity and some other properties of such systems are investigated. In particular, a short proof of a result by Khmyleva and Bukhtina is provided and a more general form of this result is stated.

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