Extremal sections of complex $l_p$-balls, 0 < p ≤ 2

Alexander Koldobsky, and Marisa Zymonopoulou. "Extremal sections of complex $l_{p}$-balls, 0 < p ≤ 2." Studia Mathematica 159.2 (2003): 185-194. <http://eudml.org/doc/284952>.

@article{AlexanderKoldobsky2003,
abstract = {We study the extremal volume of central hyperplane sections of complex n-dimensional $l_\{p\}$-balls with 0 < p ≤ 2. We show that the minimum corresponds to hyperplanes orthogonal to vectors ξ = (ξ¹,...,ξⁿ) ∈ ℂⁿ with |ξ¹| = ... = |ξⁿ|, and the maximum corresponds to hyperplanes orthogonal to vectors with only one non-zero coordinate.},
author = {Alexander Koldobsky, Marisa Zymonopoulou},
journal = {Studia Mathematica},
keywords = {extremal section; complex -ball},
language = {eng},
number = {2},
pages = {185-194},
title = {Extremal sections of complex $l_\{p\}$-balls, 0 < p ≤ 2},
url = {http://eudml.org/doc/284952},
volume = {159},
year = {2003},
}

TY - JOUR
AU - Alexander Koldobsky
AU - Marisa Zymonopoulou
TI - Extremal sections of complex $l_{p}$-balls, 0 < p ≤ 2
JO - Studia Mathematica
PY - 2003
VL - 159
IS - 2
SP - 185
EP - 194
AB - We study the extremal volume of central hyperplane sections of complex n-dimensional $l_{p}$-balls with 0 < p ≤ 2. We show that the minimum corresponds to hyperplanes orthogonal to vectors ξ = (ξ¹,...,ξⁿ) ∈ ℂⁿ with |ξ¹| = ... = |ξⁿ|, and the maximum corresponds to hyperplanes orthogonal to vectors with only one non-zero coordinate.
LA - eng
KW - extremal section; complex -ball
UR - http://eudml.org/doc/284952
ER -