Displaying similar documents to “Infinite matrices and conjugate derived Fourier series”

Hilbert space factorization and Fourier type of operators

Aicke Hinrichs (2001)

Studia Mathematica

Similarity:

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.