On the null spaces of linear Fredholm operators depending on several parameters
1978 ◽
Vol 84
(1)
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pp. 131-142
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Keyword(s):
AbstractLet X, Y be real Banach spaces, and let = {f(λ):λ ∈ m} be an m-parameter family of bounded linear operators from X to Y, with f(λ) depending continuously on λ. The cases m = 1 and m = 2 are considered, and conditions on are found which determine the null space of f(λ) for all λ near a given λ0 such that f(λ0): X → Y is a Fredholm operator. The results obtained are shown to be of particular interest in perturbed bifurcation theory.
1974 ◽
Vol 17
(1)
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pp. 67-71
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Keyword(s):
2003 ◽
Vol 133
(1)
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pp. 197-212
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2016 ◽
Vol 160
(3)
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pp. 413-421
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Keyword(s):
1969 ◽
Vol 16
(3)
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pp. 227-232
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Keyword(s):
1982 ◽
Vol 25
(1)
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pp. 78-81
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