Applications of spherical designs to Banach space theory

• Autorzy: Hermann König
• Języki publikacji: EN

Abstrakty

EN

Spherical designs constitute sets of points distributed on spheres in a regular way. They can be used to construct finite-dimensional normed spaces which are extreme in some sense: having large projection constants, big or small Banach-Mazur distance to Hilbert spaces or $ℓ_p$-spaces. These examples provide concrete illustrations of results obtained by more powerful probabilistic techniques which, however, do not exhibit explicit examples. We give a survey of such constructions where the geometric invariants can be estimated quite precisely.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2004
• Tom: 64
• Numer: 1
• Strony: 127-134

Daty

wydano

2004

Twórcy

autor

Hermann König

• Mathematisches Seminar, Universität Kiel, 24 098 Kiel, Germany

Identyfikatory

DOI

10.4064/bc64-0-10