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Journals / Turkish Journal of Mathematics / 2002 / Cilt: 26 - Sayı: 2

New Tensor Norms and Operator Ideals Associated to Interpolation Spaces Between Sequence Spaces

G. CASTANEDA, J. A. LOPEZ MOLINA, M. J. RIVERA

Pages
169–197
DOI
—

Abstract

We introduce a wide class of tensor norms gl,r which are defined with the help of interpolation spaces between perfect sequence spaces defined by a general parameter real interpolation method. We also characterize the associated lr-nuclear and lr-integral operators.

Özet

We introduce a wide class of tensor norms gl,r which are defined with the help of interpolation spaces between perfect sequence spaces defined by a general parameter real interpolation method. We also characterize the associated lr-nuclear and lr-integral operators.

Keywords: Tensor norms, operator ideals, lr-nuclear and lr-integral operators.