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Book Review
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Book Information
Author(s):
J. R. Higgins
Title:
Completeness and basis properties of sets of special functions
Additional book information:
Cambridge Tracts in Mathematics, no. 72, Cambridge Univ. Press, Cambridge, London, New York, Melbourne, 1977, x + 134 pp., $19.95
References:
- 1.
- R. G Buck, Expansion theorems for analytic junctions. I, Lectures on Functions of a Complex Variable (W. Kaplan, M. O. Reade and G. S. Young, Editors), Univ. of Michigan Press, Ann Arbor, 1955, pp. 409-419; p. 410.
- 2.
- D. G. Bourgin, A class of sequences of functions, Trans. Amer. Math. Soc. 60 (1946), 478-518. MR 20168
- 3.
- S. V. Bočkarev, Existence of a basis in the space of functions analytic in the disk, and some properties of Franklin's system, Mat. Sb. 95 (137) (1974), 3-18, 159. MR 355562
- 4.
- L. Carroll, Through the looking-glass, Chapter VI (In The Complete Works of Lewis Carroll, Nonesuch Press and Random House, London and New York, n.d.).
- 5.
- P. Enflo, A counterexample to the approximation problem in Banach spaces, Acta Math. 130 (1973), 30-317. MR 402468
- 6.
- W. S. Gilbert, The Mikado, Act 2 (In The Savoy Operas, Macmillan, London, 1926, p. 371).
- 7.
- J. T. Marti, Introduction to the theory of bases, Springer-Verlag, New York, 1969. MR 438075
- 8.
- I. Singer, Bases in Banach spaces, Springer, Berlin, 1970. MR 298399
Additional Information:
Reviewer(s):
R. P.
Boas
Review Information:
Journal:
Bull. Amer. Math. Soc.
84
(1978),
642-645.
DOI:
10.1090/S0002-9904-1978-14508-X
PII:
S 0002-9904(1978)14508-X
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