Spaces with maximal projection constants

• Autorzy: Hermann König , Nicole Tomczak-Jaegermann
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 159
• Numer: 3
• Strony: 357-372

Daty

wydano

2003

Twórcy

autor

Hermann König

• Mathematisches Seminar, Universität Kiel, 24098 Kiel, Germany

autor

Nicole Tomczak-Jaegermann

• Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton TG2 2G1, Canada

Identyfikatory

DOI

10.4064/sm159-3-2