Vol. 23, No. 2, 1967

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Unitary invariants for nests

John A. Erdos

Vol. 23 (1967), No. 2, 229–256
Abstract

A set of subspaces of a Hilbert space is called a nest if it is totally ordered by inclusion. The aim of this paper is to obtain a complete set of unitary invariants for a class of nests satisfying certain conditions. The conditions imposed are a countability condition, (satisfied by all nests of subspaces of a separable Hilbert space), and a simple completeness condition.

Mathematical Subject Classification
Primary: 47.35
Secondary: 46.00
Milestones
Received: 8 May 1965
Published: 1 November 1967
Authors
John A. Erdos