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

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

Abstract: We introduce a wide class of tensor norms g_{\lambda,\rho} 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 \lambda_{\rho}-nuclear and \lambda_{\rho}-integral operators.

Keywords: Tensor norms, operator ideals, \lambda_{\rho}-nuclear and \lambda_{\rho}-integral operators.

Full Text: PDF