Operator Inequalities Implying Similarity to a Contraction
نویسندگان
چکیده
منابع مشابه
Linear Resolvent Growth of a Weak Contraction Does Not Imply Its Similarity to a Normal Operator
It was shown in [2] that if T is a contraction in a Hilbert space with finite defect (‖T‖ ≤ 1, rank(I−T ∗T ) <∞), and its spectrum σ(T ) doesn’t coincide with the closed unit disk D, then the following Linear Resolvent Growth condition ‖(λI − T )−1‖ ≤ C dist(λ, σ(T )) , λ ∈ C\σ(T ), implies that T is similar to a normal operator. The condition rank(I − T ∗T ) < ∞ characterizes how close is T to...
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ژورنال
عنوان ژورنال: Complex Analysis and Operator Theory
سال: 2018
ISSN: 1661-8254,1661-8262
DOI: 10.1007/s11785-018-0864-8