"Discrete representation of linear bounded operators on Banach spaces using self-localised frames"Bytchenkoff, DimitriThis is the report on an ongoing work done together with Dr Peter Balazs. We shall show that the set of the tensor product of the elements of the self-localised frames for two coorbit spaces constitutes a self-localised frame for the space of linear bounded operators mapping one of the above-mentioned coorbit spaces on the other. We shall then discuss some of the essential properties of the self-localised linear bounded operators, i. e. linear bounded operators whose Galerkin matrices belong to spectral matrix algebras. |
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