Exotic indecomposable systems of four subspaces in a Hilbert space

Masatoshi Enomoto, Yasuo Watatani

研究成果: Contribution to journalArticle査読

5 被引用数 (Scopus)

抄録

We study the relative position of four (closed) subspaces in a Hilbert space. For any positive integer n, we give an example of exotic indecomposable system S of four subspaces in a Hilbert space whose defect is 2n+1/3. By an exotic system, we mean a system which is not isomorphic to any closed operator system under any permutation of subspaces. We construct the examples using certain nice sequences construced by Jiang and Wang in their study of strongly irreducible operators.

本文言語英語
ページ(範囲)149-164
ページ数16
ジャーナルIntegral Equations and Operator Theory
59
2
DOI
出版ステータス出版済み - 10 2007

All Science Journal Classification (ASJC) codes

  • 分析
  • 代数と数論

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