Bulletin of the American Mathematical Society

MathSciNet review: 1567065
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.

D. G. Bourgin, A class of sequences of functions, Trans. Amer. Math. Soc. 60 (1946), 478–518. MR 20168, DOI 10.1090/S0002-9947-1946-0020168-0

S. V. Bočkarev, Existence of a basis in the space of functions analytic in the disc, and some properties of Franklin’s system, Mat. Sb. (N.S.) 95(137) (1974), 3–18, 159 (Russian). MR 0355562

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.).

Per Enflo, A counterexample to the approximation problem in Banach spaces, Acta Math. 130 (1973), 309–317. MR 402468, DOI 10.1007/BF02392270

6.

W. S. Gilbert, The Mikado, Act 2 (In The Savoy Operas, Macmillan, London, 1926, p. 371).

Jürg T. Marti, Introduction to the theory of bases, Springer Tracts in Natural Philosophy, Vol. 18, Springer-Verlag New York, Inc., New York, 1969. MR 0438075

Ivan Singer, Bases in Banach spaces. I, Die Grundlehren der mathematischen Wissenschaften, Band 154, Springer-Verlag, New York-Berlin, 1970. MR 0298399

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 0020168

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