More on geometry of Krein space C-numerical range
نویسندگان
چکیده
منابع مشابه
The numerical range of linear operators on the 2-dimensional Krein space
The aim of this note is to provide the complete characterization of the numerical range of linear operators on the 2-dimensional Krein space C.
متن کاملKrein Space Numerical Ranges: Compressions and Dilations
A criterion for the numerical range of a linear operator acting in a Krein space to be a two-component hyperbolical disc is given, using the concept of support function. A characterization of the Krein space numerical range as a union of hyperbolical discs is obtained by a reduction to the two-dimensional case. We revisit a famous result of Ando concerning the inclusion relation W (A) ⊆ W (B) o...
متن کاملC*-Algebra numerical range of quadratic elements
It is shown that the result of Tso-Wu on the elliptical shape of the numerical range of quadratic operators holds also for the C*-algebra numerical range.
متن کاملSemidefinite geometry of the numerical range
The numerical range of a matrix is studied geometrically via the cone of positive semidefinite matrices (or semidefinite cone for short). In particular it is shown that the feasible set of a two-dimensional linear matrix inequality (LMI), an affine section of the semidefinite cone, is always dual to the numerical range of a matrix, which is therefore an affine projection of the semidefinite con...
متن کاملEla Semidefinite Geometry of the Numerical Range
Abstract. The numerical range of a matrix is studied geometrically via the cone of positive semidefinite matrices (or semidefinite cone for short). In particular, it is shown that the feasible set of a two-dimensional linear matrix inequality (LMI), an affine section of the semidefinite cone, is always dual to the numerical range of a matrix, which is therefore an affine projection of the semid...
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2019
ISSN: 0096-3003
DOI: 10.1016/j.amc.2019.01.029