Modified cauchy kernels and functional calculus for operators on Banach space
1997 ◽
Vol 63
(1)
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pp. 91-99
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Keyword(s):
AbstractIn Banach space operators with a bounded H∞ functional calculus, Cowling et al. provide some necessary and sufficient conditions for a type-ω operator to have a bounded H∞ functional calculus. We provide an alternate development of some of their ideas using a modified Cauchy kernel which is L1 with respect to the measure ]dz]/]z]. The method is direct and has the advantage that no transforms of the functions are necessary.
1992 ◽
pp. 189-203
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1992 ◽
Vol 45
(2)
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pp. 333-342
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2006 ◽
Vol 14
(5)
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pp. 481-504
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2006 ◽
Vol 2006
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pp. 1-13
1974 ◽
Vol 46
(1)
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pp. 43-43
2004 ◽
Vol 2004
(45)
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pp. 2401-2422
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