Geodesic
Hilbert space factorization and Fourier type of operators
Aicke Hinrichs1
1 Mathematisches Institut FSU Jena D-07743 Jena, Germany
Studia Mathematica, Tome 145 (2001) no. 3, pp. 199-212

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm145-3-2
Keywords: question whether every fourier type operator factors through hilbert space least natural gradations fourier type norms hilbert space factorization norms uniformly equivalent corresponding result obtained number other sequences ideal norms instead fourier type gradation including walsh function analogue fourier type main tools ideal norms random matrices

Aicke Hinrichs 1

1 Mathematisches Institut FSU Jena D-07743 Jena, Germany 
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Aicke Hinrichs. Hilbert space factorization and Fourier type of operators. Studia Mathematica, Tome 145 (2001) no. 3, pp. 199-212. doi: 10.4064/sm145-3-2

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