Shapes and computer generation of numerical ranges of Krein space operators
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منابع مشابه
Krein 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 کاملEla Krein Spaces Numerical Ranges and Their Computer Generation
Let J be an involutive Hermitian matrix with signature (t, n− t), 0 ≤ t ≤ n, that is, with t positive and n− t negative eigenvalues. The Krein space numerical range of a complex matrix A of size n is the collection of complex numbers of the form ξ ∗JAξ ξ∗Jξ , with ξ ∈ Cn and ξ∗Jξ = 0. In this note, a class of tridiagonal matrices with hyperbolical numerical range is investigated. A Matlab progr...
متن کاملRemarks on generalized numerical ranges of operators on indefinite inner product spaces
Numerical ranges associated to operators on an indefinite inner product space are investigated. Boundary generating curves, shapes, corners and computer generation of these sets are studied. Some final remarks present an interesting relation between these sets and numerical ranges of operators arising in quantum mechanics.
متن کاملOn Generalized Numerical Ranges of Operators on an Indefinite Inner Product Space
In this paper, numerical ranges associated to operators on an indefinite inner product space are investigated. Boundary generating curves, corners, shapes and computer generations of these sets are studied. In particular, the MurnaghanKippenhahn theorem for the classical numerical range is generalized.
متن کاملThe 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.
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تاریخ انتشار 2018