Spectral enclosures for a class of block operator matrices

Giribet, Juan; Langer, Matthias GND; Martinez Peria, Francisco; Philipp, Friedrich; Trunk, Carsten GND

We prove new spectral enclosures for the non-real spectrum of a class of 2x2 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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Giribet, Juan / Langer, Matthias / Martinez Peria, Francisco / et al: Spectral enclosures for a class of block operator matrices. Ilmenau 2019.

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