Spectral enclosures for a class of block operator matrices

Juan Giribet, Matthias Langer, Francisco Martínez Pería, Friedrich Philipp, Carsten Trunk

Research output: Contribution to journalArticle

Abstract

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.
Original languageEnglish
Article number108455
Number of pages24
JournalJournal of Functional Analysis
Early online date2 Jan 2020
DOIs
Publication statusE-pub ahead of print - 2 Jan 2020

Fingerprint

Operator Matrix
Block Matrix
Enclosure
Circle theorem
Operator
Self-adjoint Operator
Class

Keywords

  • block operator matrix
  • quadratic numerical range
  • spectral enclosure
  • Gershgorin's circle

Cite this

Giribet, Juan ; Langer, Matthias ; Martínez Pería, Francisco ; Philipp, Friedrich ; Trunk, Carsten. / Spectral enclosures for a class of block operator matrices. In: Journal of Functional Analysis. 2020.
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Spectral enclosures for a class of block operator matrices. / Giribet, Juan; Langer, Matthias; Martínez Pería, Francisco; Philipp, Friedrich; Trunk, Carsten.

In: Journal of Functional Analysis, 02.01.2020.

Research output: Contribution to journalArticle

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