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Entropy numbers of finite-dimensional Lorentz space embeddings

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DREW01 - Multivariate approximation, discretization, and sampling recovery

Lorentz quasinorms arise from interpolation theory and are a means to quantify the decay of best s-term approximation errors. For example, a special case, weak l_p-quasinorms, frequently appears in Compressed Sensing. In this talk, we discuss the asymptotic behavior of entropy numbers 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 this connection. Based on joint work with J. Prochno and J. Vybíral. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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Memorial Court, Clare College, Riley Auditorium, Queen's Road, Cambridge, CB3 9AJ Lecture Room 4, Baker Building, Department of Engineering, Trumpington Street Lucy Cavendish College

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