Abstract
The main aim of Chapter II is to study entropy numbers in (weighted) ℓ p -spaces. This will be done in the Sections 7–9. In the present section we describe briefly the necessary abstract background without proofs. We follow closely [ET96] where proofs, further details, explanations, and more references are given.
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References
Edmunds, D.E. and Triebel, H., Function spaces, entropy numbers, differential operators. Cambridge Univ. Press 1996
Haroske, D. and Triebel, H., Entropy numbers in weighted function spaces and eigenvalue distributions of some degenerate pseudodifferential operators I. Math. Nachr. 167 (1994), 131–156
Pietsch, A., Operator ideals. Amsterdam, North-Holland, 1980
Carl, B. and Stephani, I., Entropy, compactness and approximation of operators. Cambridge Univ. Press, 1990
Pietsch, A., Eigenvalues and s-numbers. Cambridge Univ. Press, 1987
Carl, B., Entropy numbers, s-numbers and eigenvalue problems. J. Funct. Analysis 41 (1981), .290–306
DeVore, R.A. and Lorentz, G.G., Constructive approximation. Berlin, Springer, 1993
Edmunds, D.E. and Evans, W.D., Spectral theory and differential operators. Oxford Univ. Press, 1987
Carl, B. and Triebel, H., Inequalities between eigenvalues, entropy numbers, and related quantities of compact operators in Banach spaces. Math. Ann. 251 (1980), 129–133
Triebel, H., Interpolation theory, function spaces, differential operators. Amsterdam, North-Holland, 1978 (Sec. ed. Heidelberg, Barth, 1995)
Lorentz, G.G., Golitschek, M.v. and Makovoz, Y., Constructive approximation, advanced problems. Berlin, Springer, 1996
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© 1997 Birkhäuser Verlag
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Triebel, H. (1997). ℓ p -spaces. In: Fractals and Spectra. Modern Birkhäuser Classics. Springer, Basel. https://doi.org/10.1007/978-3-0348-0034-1_2
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DOI: https://doi.org/10.1007/978-3-0348-0034-1_2
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