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# The Numerical Range of 2-Dimensional Krein Space Operators

Published:2008-03-01
Printed: Mar 2008
• Hiroshi Nakazato
• Natália Bebiano
• Jo\ ao da Providência
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## Abstract

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
 MSC Classifications: 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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