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# Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

## Spaces with maximal projection constants

### Tom 159 / 2003

Studia Mathematica 159 (2003), 357-372 MSC: Primary 46B20. DOI: 10.4064/sm159-3-2

#### Streszczenie

We show that $n$-dimensional spaces with maximal projection constants exist not only as subspaces of $l_\infty$ but also as subspaces of $l_1$. They are characterized by a rigid set of vector conditions. Nevertheless, we show that, in general, there are many non-isometric spaces with maximal projection constants. Several examples are discussed in detail.

#### Autorzy

• Hermann KönigMathematisches Seminar
Universität Kiel
24098 Kiel, Germany
e-mail
• Nicole Tomczak-JaegermannDepartment of Mathematical
and Statistical Sciences
University of Alberta