Calculations on a Class of Candidate Solutions for the Distortion Problem on l 2

  • Frank Sanacory College at Old Westbury SUNY
Keywords: Distortion, Banach Spaces, MSC 2010: 46B25, 46C15, 68

Abstract

In 1994 E. Odell and Th. Schlumprecht showed that the Hilbert space (` 2 ) was arbitrarily distortable.
However, we do not have a defined sequence of norms that would perform this distortion. G. An-
droulakis and the author defined a class of norms equivalent to the Hilbert space norm. These norms
are candidate sequences of norms that might distort ` 2 . These norms are recursively defined and
calculations with these norms are quite difficult. Here we present a tool, a Python program, that
calculates the norms defined by G. Androulakis and the author.

Published
2019-05-13
How to Cite
Sanacory, F. (2019). Calculations on a Class of Candidate Solutions for the Distortion Problem on l 2. JOURNAL OF ADVANCES IN MATHEMATICS, 16, 8420-8422. https://doi.org/10.24297/jam.v16i0.8223
Section
Articles