4 papers
On a characterization of Riesz bases via biorthogonal sequences
Diana T. Stoeva
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 sequ…
Localization of Fréchet frames and expansion of generalized functions
Stevan Pilipović, Diana T. Stoeva
Matrix type operators with the off-diagonal decay of polynomial or sub-exponential types are revisited with weaker assumptions concerning row or column estimates, still giving the…
Operator representations of sequences and dynamical sampling
Ole Christensen, Marzieh Hasannasab, Diana T. Stoeva
This paper is a contribution to the theory of dynamical sampling. Our purpose is twofold. We first consider representations of sequences in a Hilbert space in terms of iterated act…
A survey on the unconditional convergence and the invertibility of multipliers with implementation
Diana T. Stoeva, Peter Balazs
The paper presents a survey over frame multipliers and related concepts. In particular, it includes a short motivation of why multipliers are of interest to consider, a review as w…