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

• Autorzy: J. E. Nymann , R. A. Sáenz
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2000
• Tom: 83
• Numer: 1
• Strony: 1-4

Daty

wydano

2000

otrzymano

1998-06-26

Twórcy

autor

J. E. Nymann

• Department of Mathematical Sciences, The University of Texas at El Paso, El Paso, TX 79968-0514, U.S.A.

autor

R. A. Sáenz

• Department of Mathematics, Princeton University, Princeton, NJ 08544-1000, U.S.A.

Bibliografia

• [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.