논문KCI 등재
On Common Invariant Subspaces of Operators
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Abstract
We present an equivalent formulation of the invariant subspace problem in terms of the existence of common invariant subspaces of some related operators, and then sketch how this formulation might be useful to establish the existence of invariant subspaces for all operators whose norm and spectral radius agree.
참고문헌 (4)
- C. Apostol, "and the structure of the predual of a dual algebra. I", pp.369~404 (1985)
- C. Foias, "-operators and enrichment of invariant subspace lat-tices"
- "Contractions with spectral radius one and in-variant subspaces", pp.273~278 (1981)
- B. Chevreau, "On common noncyclic vectors for families of operators", pp.637~650 (1991)
관련 논문AI추천
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