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An approximation of integrable functions by step functions with an application. (English) Zbl 0415.41009


MSC:

41A30 Approximation by other special function classes
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References:

[1] Viorel Barbu, Nonlinear semigroups and differential equations in Banach spaces, Editura Academiei Republicii Socialiste România, Bucharest; Noordhoff International Publishing, Leiden, 1976. Translated from the Romanian. · Zbl 0328.47035
[2] Michael G. Crandall, An introduction to evolution governed by accretive operators, Dynamical systems (Proc. Internat. Sympos., Brown Univ., Providence, R.I., 1974) Academic Press, New York, 1976, pp. 131 – 165.
[3] Michael G. Crandall and L. C. Evans, On the relation of the operator \partial /\partial \?+\partial /\partial \? to evolution governed by accretive operators, Israel J. Math. 21 (1975), no. 4, 261 – 278. · Zbl 0351.34037 · doi:10.1007/BF02757989
[4] C. M. Dafermos and M. Slemrod, Asymptotic behavior of nonlinear contraction semigroups, J. Functional Analysis 13 (1973), 97 – 106. · Zbl 0267.34062
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