Asymptotic estimate of absolute projection constants

Bibliographic description

punktacja MEiN [2013 B]: 4

title:	Asymptotic estimate of absolute projection constants
author:	Lewicki Grzegorz
journal title:	Universitatis Iagellonicae Acta Mathematica
issue:	51
date of publication :	2013
pages:	51-60
ISSN:	0083-4386
eISSN:	2084-3828
series:	Zeszyty Naukowe Uniwersytetu Jagiellońskiego, ISSN 0860-0139; 1340
DOI:	10.4467/20843828AM.13.004.2280
language:	English
journal language:	English
abstract in English:	In this note we construct a sequence of real, k-dimensional symmetric spaces Y k satisfying lim inf k Sk = p k lim inf k (Y k; l1)= p k > max w2[0;a2] h(w) > 1=(2 p 2= ); where Sk is de ned by (4) and h(w) = a21 p 2= + 2a1 q a22 w2 + w q a22 w2 with a1 = 1=(2 p 2= ) and a2 = 1 a1. This improves the lower bound obtained in [3], Th. 5.3 by maxw2[0;a2] h(w).
keywords in English:	absolute projection constant, minimal projection, symmetric spaces
affiliation:	Wydział Matematyki i Informatyki : Instytut Matematyki
type:	journal article
subtype:	academic paper