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ON ∞-COMPLEX SYMMETRIC OPERATORS

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Abstract In this paper, we study spectral properties and local spectral properties of ∞-complex symmetric operators T. In particular, we prove that if T is an ∞-complex symmetric operator, then… Click to show full abstract

Abstract In this paper, we study spectral properties and local spectral properties of ∞-complex symmetric operators T. In particular, we prove that if T is an ∞-complex symmetric operator, then T has the decomposition property (δ) if and only if T is decomposable. Moreover, we show that if T and S are ∞-complex symmetric operators, then so is T ⊗ S.

Keywords: symmetric operators; complex symmetric

Journal Title: Glasgow Mathematical Journal
Year Published: 2017

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