Equisummability for linear operators in Banach spaces
1987 ◽
Vol 106
(3-4)
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pp. 315-325
Keyword(s):
SynopsisLet A and B be closed linear operators on a Banach space X. Assume that ε(εI – A)−1f→f as |ε|→ ∞ for all f in X, ζ∊∑ ⊂ℂ. Under what conditions on B − A does the same relationship hold for B? When does [ε(εI − A)−1 − ε(εI − B)−1 ] f→ 0 in some stronger norm than that of X? The questions are discussed in an abstract setting and the results are generalised to other analytic functions of A. Applications are given to second order elliptic operators.
2006 ◽
Vol 49
(1)
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pp. 39-52
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Keyword(s):
2016 ◽
Vol 160
(3)
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pp. 413-421
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1999 ◽
Vol 42
(2)
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pp. 139-148
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2014 ◽
Vol 361
(3-4)
◽
pp. 863-907
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1975 ◽
Vol 12
(1)
◽
pp. 23-25
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Keyword(s):
Keyword(s):
2008 ◽
Vol 169
(1)
◽
pp. 181-220
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Keyword(s):