On joint essential spectra of doubly commuting n-tuples of p-hyponormal operators
Glasgow mathematical journal, Tome 40 (1998) no. 3, pp. 353-358

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Let A be an operator on a Hillbert space with polar decomposition A = |A|, let  = |A|1⁄2U|A|1⁄2 and let  = V|Â| be the polar decomposition of Â. Write à for the operatorà = |Â|1⁄2V|Â|1⁄2. If = (A1,...,AN) is a doubly commuting n-tuple of p-hyponormal operators on a Hillbert space with equal defect and nullity, then = (Ã1,...,Ãn) is a doubly commuting n-tuple of hyponormal operators. In this paper we show thatwhere σ* denotes σTe (Taylor essential spectrum), σTw (Taylor-Weyl spectrum) and σTb (Taylor-Browder spectrum), respectively.
Jeon, In Ho. On joint essential spectra of doubly commuting n-tuples of p-hyponormal operators. Glasgow mathematical journal, Tome 40 (1998) no. 3, pp. 353-358. doi: 10.1017/S0017089500032705
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