Operators in finite distributive subspace lattices, I

The purpose of this paper is to settle in the negative an open problem in operator theory, which asks whether in a finite distributive subspace lattice ℒ on a Hilbert space, every finite rank operator of Alg ℒ can be written as a finite sum of rank one operators from Alg ℒ. The counter-example const...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Mathematical proceedings of the Cambridge Philosophical Society 1993-01, Vol.113 (1), p.141-146
1. Verfasser:	Spanoudakis, N. K.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Mathematical analysis Mathematics Operator theory Sciences and techniques of general use
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!