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Normability of Lorentz spaces-an alternative approach

Publication at Faculty of Mathematics and Physics |
2014

Abstract

We study normability properties of classical Lorentz spaces. Given certain general lattice-like structure, we first prove a general sufficient condi- tion for it's associate space to be a Banach function space.

We use this result to get an alternative proof of the Sawyer's characterization of normability of a classical Lorentz space of type Lambda. We characterize normability of a classical Lorentz space of weak type Lambda.