Spaces with maximal projection constants
Hermann König ; Nicole Tomczak-Jaegermann
Studia Mathematica, Tome 157 (2003), p. 357-372 / Harvested from The Polish Digital Mathematics Library
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We show that n-dimensional spaces with maximal projection constants exist not only as subspaces of l∞ but also as subspaces of l₁. 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.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:285311 
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     title = {Spaces with maximal projection constants},
     journal = {Studia Mathematica},
     volume = {157},
     year = {2003},
     pages = {357-372},
     zbl = {1054.46011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm159-3-2}
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Hermann König; Nicole Tomczak-Jaegermann. Spaces with maximal projection constants. Studia Mathematica, Tome 157 (2003) pp. 357-372. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm159-3-2/