On S. Mazur's problems 8 and 88 from the Scottish Book
Functional Analysis
2007-05-23 v1 Classical Analysis and ODEs
Complex Variables
Abstract
The paper discusses Problems 8 and 88 posed by Stanislaw Mazur in the Scottish Book. It turns out that negative solutions to both problems are immediate consequences of the results of Section 5 of my paper "Estimates of functions of power bounded operators on Hilbert spaces", J. Operator Theory 7 (1982), 341-372. We discuss here some quantitative aspects of Problems 8 and 88 and give answers to open problems discussed in a recent paper by Pelczynski and Sukochev.
Cite
@article{arxiv.math/0703716,
title = {On S. Mazur's problems 8 and 88 from the Scottish Book},
author = {V. V. Peller},
journal= {arXiv preprint arXiv:math/0703716},
year = {2007}
}
Comments
8 pages