Relative position of four subspaces in a Hilbert space

Masatoshi Enomoto, Yasuo Watatani

研究成果: Contribution to journalArticle

13 引用 (Scopus)

抜粋

We study the relative position of several subspaces in a separable infinite-dimensional Hilbert space. In finite-dimensional case, Gelfand and Ponomarev gave a complete classification of indecomposable systems of four subspaces. We construct exotic examples of indecomposable systems of four subspaces in infinite-dimensional Hilbert spaces. We extend their Coxeter functors and defect using Fredholm index. The relative position of subspaces has close connections with strongly irreducible operators and transitive lattices. There exists a relation between the defect and the Jones index in a type II1 factor setting.

元の言語英語
ページ(範囲)263-317
ページ数55
ジャーナルAdvances in Mathematics
201
発行部数2
DOI
出版物ステータス出版済み - 4 1 2006

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

フィンガープリント Relative position of four subspaces in a Hilbert space' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

  • これを引用