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

• Autorzy: V. V. Peller
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47A07: Forms (bilinear, sesquilinear, multilinear)
• 46M05: Tensor products
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
• 47B35: Toeplitz operators, Hankel operators, Wiener-Hopf operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 180
• Numer: 2
• Strony: 191-198

Daty

wydano

2007

Twórcy

autor

V. V. Peller

• Department of Mathematics, Michigan State University, East Lansing, MI 48824, U.S.A.

Identyfikatory

DOI

10.4064/sm180-2-7