For a scalar lambda, two operators T and S are said to A-commute if TS = lambda ST. In this note we explore the pervasiveness of the operators that lambda-commute with a compact operator by characterizing the closure and the interior of the set of operators with this property.
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Northeastern Univ Qinhuangdao, Sch Math & Stat, Qinhuangdao, Hebei, Peoples R ChinaNortheastern Univ Qinhuangdao, Sch Math & Stat, Qinhuangdao, Hebei, Peoples R China
Ma, Shi-Mei
Qi, Hao
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Wenzhou Univ, Coll Math & Phys, Wenzhou 325035, Peoples R ChinaNortheastern Univ Qinhuangdao, Sch Math & Stat, Qinhuangdao, Hebei, Peoples R China
Qi, Hao
Yeh, Jean
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Natl Kaohsiung Normal Univ, Dept Math, Kaohsiung 82444, TaiwanNortheastern Univ Qinhuangdao, Sch Math & Stat, Qinhuangdao, Hebei, Peoples R China
Yeh, Jean
Yeh, Yeong-Nan
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Wenzhou Univ, Coll Math & Phys, Wenzhou 325035, Peoples R ChinaNortheastern Univ Qinhuangdao, Sch Math & Stat, Qinhuangdao, Hebei, Peoples R China