Relative position of four subspaces in a Hilbert space

Masatoshi Enomoto, Yasuo Watatani

研究成果: ジャーナルへの寄稿学術誌査読

14 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)263-317
ページ数55
ジャーナルAdvances in Mathematics
201
2
DOI
出版ステータス出版済み - 4月 1 2006

!!!All Science Journal Classification (ASJC) codes

  • 数学 (全般)

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