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On the geometry of numerical ranges in spaces with an indefinite inner product

  • Published:2005-04 Issue: Volume:399 Page:17-34
  • ISSN:0024-3795
  • Container-title:Linear Algebra and its Applications
  • language:en
  • Short-container-title:Linear Algebra and its Applications

Author:

Bebiano N.,Lemos R.,da Providência J.,Soares G.

Publisher

Elsevier BV

Subject

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

Reference18 articles.

1. On generalized numerical ranges of operators on an indefinite inner product space;Bebiano;Linear and Multilinear Algebra,2004

2. Shells of matrices in indefinite inner product spaces;Bolotnikov;Electr. J. Linear Algebra,2002

3. On matrices with elliptical numerical ranges;Brown;Linear and Multilinear Algebra,2004

4. The shell of a Hilbert-space operator;Davis;Acta Sci. Math. (Szeged),1968

5. The shell of a Hilbert-space operator II;Davis;Acta Sci. Math. (Szeged),1970

Cited by 11 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. On the hyperbolicity of the Krein space numerical range;Linear and Multilinear Algebra;2023-08-31

2. Kippenhahn's Theorem for Joint Numerical Ranges and Quantum States;SIAM Journal on Applied Algebra and Geometry;2021-01

3. The Characteristic Polynomial of Linear Pencils of Small Size and the Numerical Range;Springer Proceedings in Mathematics & Statistics;2017

4. Krein space numerical ranges: compressions and dilations;Annals of Functional Analysis;2014

5. The numerical range of non-negative operators in Krein spaces;Linear Algebra and its Applications;2013-03
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