Some geometrical properties of Banach spaces of polynomials

Y. Gordon; S. Reisner

doi:10.1007/BF02765014

Some geometrical properties of Banach spaces of polynomials

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate the asymmetry, gl constants and best factorization estimates of the n-dimensional spaces of polynomials H_pⁿ =span{e^ikx;k=1,2,..., n} equipped with the L_p norm for 1≦p≦∞.

Original language	English
Pages (from-to)	99-116
Number of pages	18
Journal	Israel Journal of Mathematics
Volume	42
Issue number	1-2
DOIs	https://doi.org/10.1007/BF02765014
State	Published - Mar 1982
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/BF02765014

Cite this

@article{f2d863ab47de41598f21783d0d667c6d,

title = "Some geometrical properties of Banach spaces of polynomials",

abstract = "We investigate the asymmetry, gl constants and best factorization estimates of the n-dimensional spaces of polynomials H p n =span{e ikx;k=1,2,..., n} equipped with the L p norm for 1≦p≦∞.",

author = "Y. Gordon and S. Reisner",

year = "1982",

month = mar,

doi = "10.1007/BF02765014",

language = "English",

volume = "42",

pages = "99--116",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "1-2",

}

TY - JOUR

T1 - Some geometrical properties of Banach spaces of polynomials

AU - Gordon, Y.

AU - Reisner, S.

PY - 1982/3

Y1 - 1982/3

N2 - We investigate the asymmetry, gl constants and best factorization estimates of the n-dimensional spaces of polynomials H p n =span{e ikx;k=1,2,..., n} equipped with the L p norm for 1≦p≦∞.

AB - We investigate the asymmetry, gl constants and best factorization estimates of the n-dimensional spaces of polynomials H p n =span{e ikx;k=1,2,..., n} equipped with the L p norm for 1≦p≦∞.

UR - http://www.scopus.com/inward/record.url?scp=51249185819&partnerID=8YFLogxK

U2 - 10.1007/BF02765014

DO - 10.1007/BF02765014

M3 - Article

AN - SCOPUS:51249185819

SN - 0021-2172

VL - 42

SP - 99

EP - 116

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1-2

ER -

Some geometrical properties of Banach spaces of polynomials

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this