On S. Mazur's problems 8 and 88 from the Scottish Book
Volume 180 / 2007
Studia Mathematica 180 (2007), 191-198
MSC: 47B35, 46M05, 47A07, 46E35.
DOI: 10.4064/sm180-2-7
Abstract
The paper discusses Problems 8 and 88 posed by Stanisław Mazur in the Scottish Book. It turns out that negative solutions to both problems are immediate consequences of the results of Peller [J. Operator Theory 7 (1982)]. We discuss here some quantitative aspects of Problems 8 and 88 and give answers to open problems discussed in a recent paper of Pełczyński and Sukochev in connection with Problem 88.
