Polaroid type operators and compact perturbations

Chun Guang Li; Ting Ting Zhou

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Displaying similar documents to “Polaroid type operators and compact perturbations”

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We present a new approach to the question of when the commutativity of operator exponentials implies that of the operators. This is proved in the setting of bounded normal operators on a complex Hilbert space. The proofs are based on some results on similarities by Berberian and Embry as well as the celebrated Fuglede theorem.

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S.C. Arora, Ramesh Kumar (1981)

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Mecheri, Salah (2005)

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On λ-commuting operators

John B. Conway, Gabriel Prǎjiturǎ (2005)

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For a scalar λ, two operators T and S are said to λ-commute if TS = λST. In this note we explore the pervasiveness of the operators that λ-commute with a compact operator by characterizing the closure and the interior of the set of operators with this property.

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