Weyl’s theorem for algebraically quasi-paranormal operators
Keyword(s):
Let T or T? be an algebraically quasi-paranormal operator acting on Hilbert space. We prove : (i) Weyl?s theorem holds for f (T) for every f ? H(?(T)); (ii) a-Browder?s theorem holds for f (S) for every S ? T and f ? H(?(S)); (iii) the spectral mapping theorem holds for the Weyl spectrum of T and for the essential approximate point spectrum of T.
2004 ◽
Vol 76
(2)
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pp. 291-302
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1974 ◽
Vol 80
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pp. 317-322
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1998 ◽
Vol 220
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pp. 760-768
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1996 ◽
Vol 38
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pp. 61-64
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2002 ◽
Vol 66
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pp. 425-441
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1997 ◽
Vol 39
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pp. 217-220
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2015 ◽
Vol 17
(05)
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pp. 1450042