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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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
id I19-R120-10915-124909
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Ciencias Exactas
Block operator matrices
Quadratic numerical range
Spectral enclosure
Gershgorin’s circle
spellingShingle Matemática
Ciencias Exactas
Block operator matrices
Quadratic numerical range
Spectral enclosure
Gershgorin’s circle
Giribet, Juan I.
Langer, Matthias
Martínez Pería, Francisco Dardo
Philipp, Friedrich
Trunk, Carsten
Spectral enclosures for a class of block operator matrices
topic_facet Matemática
Ciencias Exactas
Block operator matrices
Quadratic numerical range
Spectral enclosure
Gershgorin’s circle
description 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.
format Articulo
Preprint
author Giribet, Juan I.
Langer, Matthias
Martínez Pería, Francisco Dardo
Philipp, Friedrich
Trunk, Carsten
author_facet Giribet, Juan I.
Langer, Matthias
Martínez Pería, Francisco Dardo
Philipp, Friedrich
Trunk, Carsten
author_sort Giribet, Juan I.
title Spectral enclosures for a class of block operator matrices
title_short Spectral enclosures for a class of block operator matrices
title_full Spectral enclosures for a class of block operator matrices
title_fullStr Spectral enclosures for a class of block operator matrices
title_full_unstemmed Spectral enclosures for a class of block operator matrices
title_sort spectral enclosures for a class of block operator matrices
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/124909
work_keys_str_mv AT giribetjuani spectralenclosuresforaclassofblockoperatormatrices
AT langermatthias spectralenclosuresforaclassofblockoperatormatrices
AT martinezperiafranciscodardo spectralenclosuresforaclassofblockoperatormatrices
AT philippfriedrich spectralenclosuresforaclassofblockoperatormatrices
AT trunkcarsten spectralenclosuresforaclassofblockoperatormatrices
bdutipo_str Repositorios
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