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Can I read Property $$(\Omega )$$ and Its Compact Perturbations on EtoBox?
Property $$(\Omega )$$ and Its Compact Perturbations by Lili Yang; Xiaohong Cao is a Mathematics article available to read on EtoBox.
What is Property $$(\Omega )$$ and Its Compact Perturbations about?
Let H be an infinite dimensional complex Hilbert space and B(H) be the algebra of all bounded linear operators on H. For T ∈ B(H), we say T has property (ω) if σ a (T )\σ aw (T ) = π 00 (T ) and is said to have property (ω 1 ) if σ a (T )\σ aw (T ) ⊆ π 00 (T ), where σ a (T ) and σ aw (T ) denote the approximate point spectrum and the Weyl essential approximate point spectrum of T respectively, and π 00 (T ) = {λ ∈ isoσ (T ) : 0 < dim N (T -λI ) < ∞}. In this paper, we focus on the characterization on the operators for which property (ω 1 ) and property (ω) are stable under compact perturbations.
Who reads Property $$(\Omega )$$ and Its Compact Perturbations?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Lili Yang; Xiaohong Cao
- Publisher
- Springer Science and Business Media LLC
- Published
- 2021
- Language
- EN
- Field
- Mathematics (Physical Sciences)