Hilbert space factorization and Fourier type of operators

Aicke Hinrichs. "Hilbert space factorization and Fourier type of operators." Studia Mathematica 145.3 (2001): 199-212. <http://eudml.org/doc/284670>.

@article{AickeHinrichs2001,
abstract = {It is an open question whether every Fourier type 2 operator factors through a Hilbert space. We show that at least the natural gradations of Fourier type 2 norms and Hilbert space factorization norms are not uniformly equivalent. A corresponding result is also obtained for a number of other sequences of ideal norms instead of the Fourier type 2 gradation including the Walsh function analogue of Fourier type. Our main tools are ideal norms and random matrices.},
author = {Aicke Hinrichs},
journal = {Studia Mathematica},
keywords = {Fourier type; factorization; random matrices},
language = {eng},
number = {3},
pages = {199-212},
title = {Hilbert space factorization and Fourier type of operators},
url = {http://eudml.org/doc/284670},
volume = {145},
year = {2001},
}

TY - JOUR
AU - Aicke Hinrichs
TI - Hilbert space factorization and Fourier type of operators
JO - Studia Mathematica
PY - 2001
VL - 145
IS - 3
SP - 199
EP - 212
AB - It is an open question whether every Fourier type 2 operator factors through a Hilbert space. We show that at least the natural gradations of Fourier type 2 norms and Hilbert space factorization norms are not uniformly equivalent. A corresponding result is also obtained for a number of other sequences of ideal norms instead of the Fourier type 2 gradation including the Walsh function analogue of Fourier type. Our main tools are ideal norms and random matrices.
LA - eng
KW - Fourier type; factorization; random matrices
UR - http://eudml.org/doc/284670
ER -