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On 2 × 2 operator matrices

초록/요약

In this paper, we show that some 2 × 2 operator matrices have scalar extensions. In particular, we focus on some 2-hyponormal operators and their generalizations. As a corollary, we get that such operator matrices have nontrivial invariant subspaces if their spectra have nonempty interiors in the complex plane. © element, Zagreb.

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