The tracial numerical range of operators on a $2$-dimensional Krein space is investigated. Results in the vein of those obtained in the context of Hilbert spaces are obtained.

Keywords:

numerical range, generalized numerical range, indefinite inner product space numerical range, generalized numerical range, indefinite inner product space

MSC Classifications:

15A60, 15A63, 15A45 show english descriptions Norms of matrices, numerical range, applications of functional analysis to matrix theory [See also 65F35, 65J05]
Quadratic and bilinear forms, inner products [See mainly 11Exx]
Miscellaneous inequalities involving matrices 15A60 - Norms of matrices, numerical range, applications of functional analysis to matrix theory [See also 65F35, 65J05]
15A63 - Quadratic and bilinear forms, inner products [See mainly 11Exx]
15A45 - Miscellaneous inequalities involving matrices

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