IAM   02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
Spectral enclosures for a class of block operator matrices
Autor/es:
LANGER, MATTHIAS; TRUNK, CARSTEN; GIRIBET, JUAN; PHILIPP, FRIEDRICH; MARTÍNEZ PERÍA, FRANCISCO
Revista:
JOURNAL OF FUNCTIONAL ANALYSIS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Año: 2020
ISSN:
0022-1236
Resumen:
We prove new spectral enclosures for the non-real spectrum of a class of $2imes 2$ 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.