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A generalization of the 0-numerical range

By Rajna Rajić


Let H be a complex Hilbert space. Given a bounded linear operator A on H, we describe the set Rn(A) = {V*AW : V,W : H, V*V = W*W = In, V*W = 0}. It is shown that the closed matricial convex hull of Rn(A) is a closed ball of radius min {|A - I| : } centered at the origin

Topics: q-numerical range of an operator
Publisher: Croatian Mathematical Society and Department of Mathematics, University of Zagreb
Year: 2004
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