On representing and absolutely representing systems of subspaces in Banach spaces

TL;DR

This paper investigates the properties and conditions for representing and absolutely representing systems of subspaces in Banach spaces, providing new insights into their structure and criteria.

Contribution

It introduces sufficient conditions for systems of subspaces to be representing systems in Banach spaces, advancing understanding of their structural properties.

Findings

Identified key properties of representing systems

Established sufficient conditions for representing systems

Enhanced understanding of subspace systems in Banach spaces

Abstract

We study properties of representing and absolutely representing systems of subspaces in Banach spaces. We also present sufficient conditions for the system of subspaces to be a representing system of subspaces.