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Book Review

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Book Information:

Author: Ivan Singer
Title: Best approximation in normed linear spaces by elements of linear subspaces
Additional book information: Die Grundlehren der mathematischen Wissenschaften, Band 171, Publishing House of the Academy of the Socialist Republic of Romania, Bucharest, 1970 and Springer-Verlag, New York-Heidelberg-Berlin, 1970. 415 pp., $21.50.

References [Enhancements On Off] (What's this?)

  • 1. A. B. Németh, Review of I, Singer, Best approximation in normed vector spaces by elements of vector subspaces, Editura Academiei Republicii Socialiste Romania, Bucharest, 1967. (Romanian) Zbl 1968 # 154. MR 235368
  • 2. J. Horváth, Review of I. Singer, Best approximation in normed vector spaces by elements of vector subspaces, Editura Academiei Republicii Socialiste Romania, Bucharest, 1967. (Romanian) MR 38 # 3677. MR 235368
  • 3. S. Paszkowski, The theory of uniform approximation, I. Nonasymptotic theoretical problems, Rozprawy Mat. 26 (1962), 177 pp. MR 26 #2784. MR 145251
  • 4. N. I. Ahiezer, Lectures on the theory of approximation, OGIZ, Moscow, 1947; English transl., Ungar, New York, 1956. MR 10, 33; MR 20 # 1872. MR 95369
  • 5. G. G. Lorentz, Approximation of functions, Holt, Rinehart and Winston, New York, 1966. MR 35 #4642. MR 213785
  • 6. H. Shapiro, Topics in approximation theory, Lecture Notes in Math., no. 187, Springer-Verlag, Berlin, 1971. MR 437981
  • 7. E. W. Cheney and D. E. Wulbert, The existence and unicity of best approximations, Math. Scand. 24 (1969), 113-140. MR 41 # 5857. MR 261241
  • 8. A. J. Lazar, D. E. Wulbert and P. D. Morris, Continuous selections for metric projections, J. Functional Analysis 3 (1969), 193-216. MR 39 #3288. MR 241952
  • 9. D. A. Ault, F. R. Deutsch, P. D. Morris and J. E. Olson, Interpolating subspaces in approximation theory, J. Approximation Theory 3 (1970), 164-182. MR 279506
  • 10. B. Brosowski and R. Wegman, Characterisierung bester Approximationen in normierten Vektorräumen, J. Approximation Theory 3 (1970), 369-397. MR 277980

Review Information:

Reviewer: Wojbor A. Woyczynski
Journal: Bull. Amer. Math. Soc. 78 (1972), 685-690
DOI: https://doi.org/10.1090/S0002-9904-1972-12982-3
American Mathematical Society