Hilbert space factorization and Fourier type of operators

• Autorzy: Aicke Hinrichs
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47L20: Operator ideals
• 47B10: Operators belonging to operator ideals (nuclear, p -summing, in the Schatten-von Neumann classes, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 145
• Numer: 3
• Strony: 199-212

Daty

wydano

2001

Twórcy

autor

Aicke Hinrichs

• Mathematisches Institut, FSU Jena, D-07743 Jena, Germany

Identyfikatory

DOI

10.4064/sm145-3-2