Banach spaces without minimal subspaces - examples

TL;DR

This paper explores various examples of separable Banach spaces, including new ones, to classify them according to dichotomies related to the absence of minimal subspaces, serving as an empirical extension of prior theoretical work.

Contribution

It provides new examples of Banach spaces and relates them to existing dichotomies, deepening understanding of their structural properties.

Findings

Identification of new Banach space examples

Classification of spaces according to dichotomies

Extension of previous theoretical frameworks

Abstract

We analyse several examples of separable Banach spaces, some of them new, and relate them to several dichotomies obtained in the previous paper Banach spaces without minimal subspaces, by classifying them according to which side of the dichotomies they fall. This paper may be seen as a more empirical continuation of Banach spaces without minimal subspaces, in which our stress is on the study of examples for the new classes of Banach spaces considered in that work.