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

Authors :
Frank Sanacory
Source :
JOURNAL OF ADVANCES IN MATHEMATICS. 16:8420-8422
Publication Year :
2019
Publisher :
CIRWOLRD, 2019.

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 normsare candidate sequences of norms that might distort ` 2 . These norms are recursively defined andcalculations with these norms are quite difficult. Here we present a tool, a Python program, thatcalculates the norms defined by G. Androulakis and the author.

Details

ISSN :
23471921
Volume :
16
Database :
OpenAIRE
Journal :
JOURNAL OF ADVANCES IN MATHEMATICS
Accession number :
edsair.doi...........08e69ee0c9de49405519cb2fc45ec32c
Full Text :
https://doi.org/10.24297/jam.v16i0.8223