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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

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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