ArticleOriginal scientific text

Title

On a paper of Guthrie and Nymann on subsums of infinite series

Authors 1, 2

Affiliations

  1. Department of Mathematical Sciences, The University of Texas at El Paso, El Paso, TX 79968-0514, U.S.A.
  2. Department of Mathematics, Princeton University, Princeton, NJ 08544-1000, U.S.A.

Abstract

In 1988 the first author and J. A. Guthrie published a theorem which characterizes the topological structure of the set of subsums of an infinite series. In 1998, while attempting to generalize this result, the second author noticed the proof of the original theorem was not complete and perhaps not correct. The present paper presents a complete and correct proof of this theorem.

Bibliography

  1. J. A. Guthrie and J. E. Nymann, The topological structure of the set of subsums of an infinite series, Colloq. Math. 55 (1988), 323-327.
  2. J. E. Nymann and R. A. Sáenz, The topological structure of the set of P-sums of a sequence, Publ. Math. Debrecen 50 (1997), 305-316.
Pages:
1-4
Main language of publication
English
Received
1998-06-26
Published
2000
Exact and natural sciences