Bulletin of the American Mathematical Society

MathSciNet review: 1566648
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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.

Ivan Singer, Cea mai bună aproximare în spaţii vectoriale normate prin elemente din subspaţii vectoriale, Editura Academiei Republicii Socialiste România, Bucharest, 1967 (Romanian). MR 0235368

Ivan Singer, Cea mai bună aproximare în spaţii vectoriale normate prin elemente din subspaţii vectoriale, Editura Academiei Republicii Socialiste România, Bucharest, 1967 (Romanian). MR 0235368

S. Paszkowski, The theory of uniform approximation. I. Non-asymptotic theoretical problems, Rozprawy Mat. 26 (1962), 177. MR 145251

N. I. Achieser, Theory of approximation, Frederick Ungar Publishing Co., New York, 1956. Translated by Charles J. Hyman. MR 0095369

G. G. Lorentz, Approximation of functions, Holt, Rinehart and Winston, New York-Chicago, Ill.-Toronto, Ont., 1966. MR 0213785

Harold S. Shapiro, Topics in approximation theory, Lecture Notes in Mathematics, Vol. 187, Springer-Verlag, Berlin-New York, 1971. With appendices by Jan Boman and Torbjörn Hedberg. MR 0437981

E. W. Cheney and D. E. Wulbert, The existence and unicity of best approximations, Math. Scand. 24 (1969), 113–140. MR 261241, DOI 10.7146/math.scand.a-10925

A. J. Lazar, D. E. Wulbert, and P. D. Morris, Continuous selections for metric projections, J. Functional Analysis 3 (1969), 193–216. MR 0241952, DOI 10.1016/0022-1236(69)90040-8

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, DOI 10.1016/0021-9045(70)90025-0

Bruno Brosowski and Rudolf Wegmann, Charakterisierung bester Approximationen in normierten Vektorräumen, J. Approximation Theory 3 (1970), 369–397 (German). MR 277980, DOI 10.1016/0021-9045(70)90041-9

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 0235368

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

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S. Paszkowski, The theory of uniform approximation, I. Nonasymptotic theoretical problems, Rozprawy Mat. 26 (1962), 177 pp. MR 26 #2784. MR 145251

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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