# Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

## Studia Mathematica

### Tom 205 / 2011

Studia Mathematica 205 (2011), 83-100 MSC: 46E30, 46B20, 46B42. DOI: 10.4064/sm205-1-6

#### Streszczenie

The Rademacher sums are investigated in the $BMO$ space on $[0, 1]$. They span an uncomplemented subspace, in contrast to the dyadic $BMO_d$ space on $[0, 1]$, where they span a complemented subspace isomorphic to $l_2$. Moreover, structural properties of infinite-dimensional closed subspaces of the span of the Rademacher functions in $BMO$ are studied and an analog of the Kadec–Pełczyński type alternative with $l_2$ and $c_0$ spaces is proved.

#### Autorzy

• Sergey V. AstashkinDepartment of Mathematics and Mechanics
Samara State University
443011 Samara, Russia
e-mail
• Mikhail LeibovHorton Point LLC
1180 Avenue of the Americas
New York, NY 10036, U.S.A.
e-mail
• Lech MaligrandaDepartment of Engineering Sciences and Mathematics
Luleå University of Technology
SE-971 87 Luleå, Sweden
e-mail

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