Some relations between entropy and approximation numbers
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A general result is obtained which relates the entropy numbers of compact maps on Hilbert space to its approximation numbers. Compared with previous works in this area, it is particularly convenient for dealing with the cases where the approximation numbers decay rapidly. A nice estimation between entropy and approximation numbers for noncompact maps is given.
Keywordscompact and noncompact linear maps entropy numbers approximation numbers
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- 5.Teman, Ft.,Infinite-dimensional Dynamical Systems in Mechanics and Physics, New York-Berlin-Heidelberg: Springer-Verlag, 1988.Google Scholar