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Mathematical Communications, Vol. 10 No. 1, 2005.

Original scientific paper

A generalized q-numerical range

R. Rajić

Full text: english pdf 189 Kb

page 31-45

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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.

Keywords

C*-algebra; Hilbert C*-module; adjointable operator; C-numerical range of an operator; q-numerical range of an operator

Hrčak ID:

658

URI

https://hrcak.srce.hr/658

Publication date:

23.6.2005.

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