Abstract
Examples of bases with individual brackets and bases with individual rearrangements are given, for which one cannot select the samen i or π, respectively, for allx ∃ X.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
I. Singer, Bases in Banach Spaces. II, Springer, New York (1981).
A. N. Plichko, “On bases and complements in nonseparable Banach spaces,” Sib. Mat. Zh.,25, No. 4, 155–162 (1984).
P. Terenzi, “Representation of the space spanned by a sequence in a Banach space,” Arch. Math. (Basel),43, 448–459 (1984).
B. Beauzamy, Introduction to Banach Spaces and Their Geometry, North-Holland, Amsterdam (1982).
Additional information
Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 49, pp. 43–51, 1988.
In conclusion, I would like to seize this opportunity to express my gratitude to V. P. Fonf and to other participants of the Kharkov Seminar on the Geometry of Normed Spaces for their interest in this paper.
Rights and permissions
About this article
Cite this article
Kadets, V.M. Bases with individual brackets and bases with individual rearrangements. J Math Sci 49, 1064–1069 (1990). https://doi.org/10.1007/BF02216097
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02216097