On a characterization of Riesz bases via biorthogonal sequences

Published 17 Dec 2019 in math.FA | (1912.07774v2)

Abstract: It is well known that a sequence in a Hilbert space is a Riesz basis if and only if it is a complete Bessel sequence with biorthogonal sequence which is also a complete Bessel sequence. Here we prove that the completeness of one (any one) of the biorthogonal sequences can be omitted in the characterization.

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Diana T. Stoeva

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