# Applications of spherical designs to Banach space theory

Banach Center Publications (2004)

- Volume: 64, Issue: 1, page 127-134
- ISSN: 0137-6934

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topHermann König. "Applications of spherical designs to Banach space theory." Banach Center Publications 64.1 (2004): 127-134. <http://eudml.org/doc/282123>.

@article{HermannKönig2004,

abstract = {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.},

author = {Hermann König},

journal = {Banach Center Publications},

language = {eng},

number = {1},

pages = {127-134},

title = {Applications of spherical designs to Banach space theory},

url = {http://eudml.org/doc/282123},

volume = {64},

year = {2004},

}

TY - JOUR

AU - Hermann König

TI - Applications of spherical designs to Banach space theory

JO - Banach Center Publications

PY - 2004

VL - 64

IS - 1

SP - 127

EP - 134

AB - 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.

LA - eng

UR - http://eudml.org/doc/282123

ER -

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