Sequences of 0's and 1's: sequence spaces with the separable Hahn property

• Autorzy: Maria Zeltser
• Języki publikacji: EN

Abstrakty

EN

In [3] it was discovered that one of the main results in [1] (Theorem 5.2), applied to three spaces, contains a nontrivial gap in the argument, but neither the gap was closed nor a counterexample was provided. In [4] the authors verified that all three above mentioned applications of the theorem are true and stated a problem concerning the topological structure of one of these three spaces. In this paper we answer the problem and give a counterexample to the theorem in doubt. Also we establish a new way of constructing separable Hahn spaces.

Kategorie tematyczne

• 46A35: Summability and bases
• 46A45: Sequence spaces (including K\"othe sequence spaces)
• 40H05: Functional analytic methods in summability
• 40C05: Matrix methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 182
• Numer: 1
• Strony: 87-98

Daty

wydano

2007

Twórcy

autor

Maria Zeltser

• Matemaatika-loodusteaduskond, Tallinna Ülikool, Narva mnt. 25, EE 10120 Tallinn, Estonia

Identyfikatory

DOI

10.4064/sm182-1-5