In this note, we will prove the essential normality of some type of quotient Hilbert modules over the bidisk. Moreover, we will study some properties of the compression of the multiplication operators to the quotient Hilbert modules. (C) 2010 Elsevier Inc. All rights reserved.
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Chongqing Univ Technol, Coll Math & Stat, Chongqing 400050, Peoples R ChinaChongqing Univ Technol, Coll Math & Stat, Chongqing 400050, Peoples R China
Xu, Anjian
Zhang, Dengping
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Chongqing Univ Technol, Coll Math & Stat, Chongqing 400050, Peoples R ChinaChongqing Univ Technol, Coll Math & Stat, Chongqing 400050, Peoples R China
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Hebei Normal Univ, Dept Math, Shijiazhuang 050016, Hebei, Peoples R ChinaHebei Normal Univ, Dept Math, Shijiazhuang 050016, Hebei, Peoples R China
Ji, Kui
Sarkar, Jaydeb
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Indian Stat Inst, Stat & Math Unit, 8th Mile,Mysore Rd, Bangalore 560059, Karnataka, IndiaHebei Normal Univ, Dept Math, Shijiazhuang 050016, Hebei, Peoples R China