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A generalized q-numerical range

By R. Rajić

Abstract

For a given $q in kom$ with $|q| le 1$, we study the $C$-numerical range of a Hilbert space operator where $C$ is an operator of the form [ left( begin{array}{ccc} qI_n & sqrt{1-|q|^2}I_n \ 0_n & 0_n end{array} right) oplus 0. ] Some known results on the $q$-numerical range are extended to this set

Topics: C*-algebra; Hilbert C*-module; adjointable operator; C-numerical range of an operator; q-numerical range of an operator
Publisher: Department of Mathematics, University of Osijek
Year: 2005
OAI identifier: oai:hrcak.srce.hr:658

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