On S. Mazur's problems 8 and 88 from the Scottish Book

Details On S. Mazur's problems 8 and 88 from the Scottish Book On S. Mazur's problems 8 and 88 from the Scottish Book

2007-03-24

arxiv.org/abs/math/0703716v1

Mathematics

Functional Analysis

8 pages

Scientific paper

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.

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