On Centre Properties of Irreducible Subalgebras of Compact Elementary Operators
Publication Date
2020Author
W, Kangogo
N. B, Okelo
O., Ongati
Type
ArticleMetadata
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Abstract/ Overview
In this paper, we characterize the centre of dense irreducible subalgebras of compact elementary operators that are spectrally bounded. We show that the centre is a unital, irreducible and commutative C∗ -subalgebra. Furthermore, the supports from the centre are orthogonal and the intersection of a nonzero ideal with the centre is non-zero.