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SUMMARY:Entropy numbers of finite-dimensional Lorentz space embeddings - M
 athias Sonnleitner (Universität Münster)
DTSTART:20240718T141000Z
DTEND:20240718T143000Z
UID:TALK218314@talks.cam.ac.uk
DESCRIPTION:Lorentz quasinorms arise from interpolation theory and are a m
 eans to quantify the decay of best s-term approximation errors. For exampl
 e\, a special case\, weak l_p-quasinorms\, frequently appears in Compresse
 d Sensing. In this talk\, we discuss the asymptotic behavior of entropy nu
 mbers of embeddings between finite-dimensional Lorentz spaces\, for which 
 there is now a complete picture. We exploit a link between entropy numbers
  and sparse approximation\, and shall present open questions related to th
 is connection. Based on joint work with J. Prochno and J. Vyb&iacute\;ral.
 &nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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