Paranormal operators on Banach spaces
1980 ◽
Vol 21
(2)
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pp. 161-168
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In this note we show that a paranormal operator T on a Banach space satisfies Weyl's theorem. This is accomplished by showing that(i) every isolated point of its spectrum is an eigenvalue and the corresponding eigenspace has invariant complement,(ii) for α ≠ 0, Ker(T-α) ⊥ Ker (T-β) (in the sense of Birkhoff) whenever β ≠ α.
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2010 ◽
Vol 82
(1)
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pp. 10-17
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2006 ◽
Vol 49
(1)
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pp. 39-52
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2005 ◽
Vol 71
(1)
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pp. 107-111
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1991 ◽
Vol 14
(3)
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pp. 611-614
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1993 ◽
Vol 35
(2)
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pp. 207-217
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2016 ◽
Vol 160
(3)
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pp. 413-421
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