A note on the spectrum of an upper triangular operator matrix

Mohamed Barraa; Mohamed Boumazgour

Journal ArticleOPEN ACCESS

A note on the spectrum of an upper triangular operator matrix

Barraa M
Boumazgour M

Proceedings of the American Mathematical Society (2003) 131(10) 3083-3088

DOI: 10.1090/s0002-9939-03-06862-x

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Abstract

Let MC = [0A BC] be a 2 × 2 upper triangular operator matrix acting on the Banach space E ⊕ F. We investigate the set of the operators C for which σ(MC) = σ(A) U σ(B), where σ(.) denotes the spectrum.

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Barraa, M., & Boumazgour, M. (2003). A note on the spectrum of an upper triangular operator matrix. Proceedings of the American Mathematical Society, 131(10), 3083–3088. https://doi.org/10.1090/s0002-9939-03-06862-x

A note on the spectrum of an upper triangular operator matrix

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