The spectrum and eigenspaces of a meromorphic operator-valued function
1997 ◽
Vol 127
(5)
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pp. 1027-1051
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Keyword(s):
SynopsisIt is shown how to associate eigenvectors with a meromorphic mapping defined on a Riemann surface with values in the algebra of bounded operators on a Banach space. This generalises the case of classical spectral theory of a single operator. The consequences of the definition of the eigenvectors are examined in detail. A theorem is obtained which asserts the completeness of the eigenvectors whenever the Riemann surface is compact. Two technical tools are discussed in detail: Cauchy-kernels and Runge's Approximation Theorem for vector-valued functions.
2011 ◽
Vol 84
(1)
◽
pp. 44-48
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2002 ◽
Vol 54
(6)
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pp. 1165-1186
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Keyword(s):
1975 ◽
Vol 16
(1)
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pp. 57-60
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1991 ◽
Vol 33
(2)
◽
pp. 223-230
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2011 ◽
Vol 54
(2)
◽
pp. 325-333
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Keyword(s):
1989 ◽
Vol 41
(4)
◽
pp. 659-675
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Keyword(s):
1963 ◽
Vol 15
◽
pp. 613-621
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2010 ◽
Vol 53
(3)
◽
pp. 601-608
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Keyword(s):
1985 ◽
Vol 98
(2)
◽
pp. 323-326
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