Joint zero sets and ranges of several Hermitian forms over complex and quaternionic scalars

Author:

Binding P.,Markus A.

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference20 articles.

1. A simple proof of the convexity of the field of values defined by two Hermitian forms;Au-Yeung;Aequations Math.,1975

2. On the convexity of numerical range in quaternionic Hilbert space;Au-Yeung;Linear Multilinear Algebra,1984

3. A remark on the convexity and positive definiteness concerning Hermitian matrices;Au-Yeung;Southeast Asian Bull. Math.,1979

4. An extension of the Hausdorff–Toeplitz theorem on the numerical range;Au-Yeung;Proc. Amer. Math. Soc.,1983

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Convexity of Ranges and Connectedness of Level Sets of Quadratic Forms;Characteristic Functions, Scattering Functions and Transfer Functions;2009

2. Pairs of quaternionic selfadjoint operators with numerical range in a halfplane;Linear and Multilinear Algebra;2008-01

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