A NOTE ON THE CONVEXITY OF THE INDEFINITE JOINT NUMERICAL RANGE

作者:Nakazato Hiroshi*; Bebiano Natalia; da Providencia Joao
来源:Electronic Journal of Linear Algebra, 2014, 27(1): 705-715.
DOI:10.13001/1081-3810.1962

摘要

This note investigates the convexity of the indefinite joint numerical range of a tuple of Hermitian matrices in the setting of Krein spaces. Its main result is a necessary and sufficient condition for convexity of this set. A new notion of %26quot;quasi-convexity%26quot; is introduced as a refinement of pseudo-convexity.

  • 出版日期2014-10

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