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

V. V. Peller

Studia Mathematica (2007)

  • Volume: 180, Issue: 2, page 191-198
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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V. V. Peller. "On S. Mazur's problems 8 and 88 from the Scottish Book." Studia Mathematica 180.2 (2007): 191-198. <http://eudml.org/doc/285198>.

@article{V2007,
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.},
author = {V. V. Peller},
journal = {Studia Mathematica},
keywords = {Hankel matrix; injective tensor product; projective tensor product; Besov spaces; Fourier coefficients},
language = {eng},
number = {2},
pages = {191-198},
title = {On S. Mazur's problems 8 and 88 from the Scottish Book},
url = {http://eudml.org/doc/285198},
volume = {180},
year = {2007},
}

TY - JOUR
AU - V. V. Peller
TI - On S. Mazur's problems 8 and 88 from the Scottish Book
JO - Studia Mathematica
PY - 2007
VL - 180
IS - 2
SP - 191
EP - 198
AB - 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.
LA - eng
KW - Hankel matrix; injective tensor product; projective tensor product; Besov spaces; Fourier coefficients
UR - http://eudml.org/doc/285198
ER -

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