Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

Full text of review: PDF This review is available free of charge.

Book Information:

Author: 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.

**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**

Review Information:

Reviewer: R. P. Boas

Journal: Bull. Amer. Math. Soc.

**84**(1978), 642-645

DOI: https://doi.org/10.1090/S0002-9904-1978-14508-X