Abstract of a paper by Jakub Onufry Wojtaszczyk
This is an announcement for the paper "A series whose sum range is an arbitrary finite set" by Jakub Onufry Wojtaszczyk. Abstract: In finitely-dimensional spaces the sum range of a series has to be an affine subspace. It is long known this is not the case in infinitely dimensional Banach spaces. In particular in 1984 M.I. Kadets and K. Wo\`{z}niakowski obtained an example of a series the sum range of which consisted of two points, and asked whether it is possible to obtain more than two, but finitely many points. This paper answers the question positively, by showing how to obtain an arbitrary finite set as the sum range of a series in any infinitely dimensional Banach space. Archive classification: math.FA Mathematics Subject Classification: 46B15 Citation: Studia Mathematica 171 (3) (2005), pp. 261-281 Remarks: 21 pages The source file(s), npunktow.tex: 64310 bytes, is(are) stored in gzipped form as 0803.0415.gz with size 20kb. The corresponding postcript file has gzipped size 127kb. Submitted from: onufryw@gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0803.0415 or http://arXiv.org/abs/0803.0415 or by email in unzipped form by transmitting an empty message with subject line uget 0803.0415 or in gzipped form by using subject line get 0803.0415 to: math@arXiv.org.
participants (1)
-
alspach@fourier.math.okstate.edu