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A STUDY ON OPERATORS SATISFYING |T^2| ≥ |T^∗|^2
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Let A^* denotes the class of operators satisfying |T^2| ≥ |T^*|^2. In this paper,we show if the restriction to a non-trivial invariant subspace M of an operator T ∈ A^* is normal, then M reduces T.
Abstract
Let A^* denotes the class of operators satisfying |T^2| ≥ |T^*|^2. In this paper,we show if the restriction to a non-trivial invariant subspace M of an operator T ∈ A^* is normal, then M reduces T.
참고문헌 (6)
- S. C. Arora, "On a class of operators", Glas. Mat. Ser. III, 21, pp.381~386 (1986)
- B. P. Dugall, "On -paranormal contractions and properties for -class A operators, preprint" (2010)
- T. Furuta, "Invitation to Linear Operators" (2001), Taylor and Francis, London
- P. B. Halmos, "A Hilbert Space Problem Book" (1967), Van Nostrand, Princeton
- 2T, "Linear Algebra Appl", 2006, 854~862
- K. B. Laursen, "Introduction to local spectral theory" (2000), Clarendon Press, Oxford
관련 논문AI추천
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