The joint numerical range and the joint essential numerical range
Let B(H) denote the algebra of bounded linear operators on a complex Hilbert space H. The (classical) numerical range of T ∈ B(H) is the set W(T) = {〈T x; x〉: x ∈ H; ‖x‖ = 1} Writing T= T_1 + iT_2 for self-adjoint T_1, T_2 ∈ B(H), W(T) can be identified with the set {(〈T_1 x, x〉,〈T_2 x, x...
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| Language: | English |
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The University of Hong Kong (Pokfulam, Hong Kong)
2013
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| Online Access: | http://hdl.handle.net/10722/181884 |