Geodesic
On S. Mazur's problems 8 and 88 from the Scottish Book
V. V. Peller1
1 Department of Mathematics Michigan State University East Lansing, MI 48824, U.S.A.
Studia Mathematica, Tome 180 (2007) no. 2, pp. 191-198

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm180-2-7
Keywords: paper discusses problems posed stanis mazur scottish book turns out negative solutions problems immediate consequences results peller operator theory discuss here quantitative aspects problems answers problems discussed recent paper czy ski sukochev connection problem

V. V. Peller 1

1 Department of Mathematics Michigan State University East Lansing, MI 48824, U.S.A. 
@article{10_4064_sm180_2_7,
     author = {V. V. Peller},
     title = {On {S.} {Mazur's} problems 8 and 88 from the {Scottish} {Book}},
     journal = {Studia Mathematica},
     pages = {191--198},
     publisher = {mathdoc},
     volume = {180},
     number = {2},
     year = {2007},
     doi = {10.4064/sm180-2-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm180-2-7/}
}
TY  - JOUR
AU  - V. V. Peller
TI  - On S. Mazur's problems 8 and 88 from the Scottish Book
JO  - Studia Mathematica
PY  - 2007
SP  - 191
EP  - 198
VL  - 180
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm180-2-7/
DO  - 10.4064/sm180-2-7
LA  - en
ID  - 10_4064_sm180_2_7
ER  - 
%0 Journal Article
%A V. V. Peller
%T On S. Mazur's problems 8 and 88 from the Scottish Book
%J Studia Mathematica
%D 2007
%P 191-198
%V 180
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm180-2-7/
%R 10.4064/sm180-2-7
%G en
%F 10_4064_sm180_2_7
V. V. Peller. On S. Mazur's problems 8 and 88 from the Scottish Book. Studia Mathematica, Tome 180 (2007) no. 2, pp. 191-198. doi: 10.4064/sm180-2-7

Cité par Sources :