Article

A note on subsymmetric renormings of Banach spaces

Published in: Quaestiones Mathematicae
Volume 41 , issue 5 , 2018 , pages: 615–628

DOI: 10.2989/16073606.2017.1393704

Author(s): J.L. Ansorena Department of Mathematics and Computer Sciences, Spain

Keywords: Primary 46B15 , Secondary 46B03 , 46B45 , Primary 46B15 , Secondary 46B03 , 46B45

Abstract

We revisit the concept of a subsymmetric norm and construct a subsymmetric renorming of a Banach space with a subsymmetric basis. As a by-product of our work we introduce the concept of a lower symmetric basis and investigate its connection with subsymmetric bases and subsymmetric renormings.

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