On some generalizations of 𝒏, π’Ž -normal powers operators on Hilbert space

Eiman H. Abood, Mustafa A. Al-loz Β· Zenodo (CERN European Organization for Nuclear Research) Β· 2016

Recall that an operator 𝑇 ∈ 𝐡 𝐻 is called 𝑛, π‘š -normal powers operator if and only if 𝑇 𝑛 𝑇 π‘š βˆ— = 𝑇 π‘š βˆ—π‘‡ 𝑛 for some nonnegative integers 𝑛 and m .Throughout this paper,we introduce some types of generalizations of 𝑛, π‘š -normal powers operatorsand study some of them properties.

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