Geodesic
Spaces with maximal projection constants
Hermann König 1   ; Nicole Tomczak-Jaegermann 2
1 Mathematisches Seminar Universität Kiel 24098 Kiel, Germany
2 Department of Mathematical and Statistical Sciences University of Alberta Edmonton TG2 2G1, Canada
Studia Mathematica, Tome 159 (2003) no. 3, pp. 357-372 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm159-3-2
Keywords: n dimensional spaces maximal projection constants exist only subspaces infty subspaces characterized rigid set vector conditions nevertheless general there many non isometric spaces maximal projection constants several examples discussed detail

Hermann König  1   ; Nicole Tomczak-Jaegermann  2

1 Mathematisches Seminar Universität Kiel 24098 Kiel, Germany
2 Department of Mathematical and Statistical Sciences University of Alberta Edmonton TG2 2G1, Canada 
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Hermann König; Nicole Tomczak-Jaegermann. Spaces with maximal projection constants. Studia Mathematica, Tome 159 (2003) no. 3, pp. 357-372. doi: 10.4064/sm159-3-2

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