Spectral enclosures for a class of block operator matrices

We prove new spectral enclosures for the non-real spectrum of a class of 2 × 2 block operator matrices with self-adjoint operators A and D on the diagonal and operators B and − B* as off-diagonal entries. One of our main results resembles Gershgorin's circle theorem. The enclosures are applied...

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Detalles Bibliográficos
Autores principales: Giribet, Juan I., Langer, Matthias, Martínez Pería, Francisco Dardo, Philipp, Friedrich, Trunk, Carsten
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2020
Materias:
Matemática
Ciencias Exactas
Block operator matrices
Quadratic numerical range
Spectral enclosure
Gershgorin’s circle
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/124909
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
Descripción
Sumario:We prove new spectral enclosures for the non-real spectrum of a class of 2 × 2 block operator matrices with self-adjoint operators A and D on the diagonal and operators B and − B* as off-diagonal entries. One of our main results resembles Gershgorin's circle theorem. The enclosures are applied to J-frame operators.

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