Uniqueness of the algebraic multiplicity
2004 ◽
Vol 134
(5)
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pp. 985-990
Keyword(s):
Given a smooth function 𝔏 of a real or complex variable and taking its values in the class of Fredholm operators of index zero in a Banach space, there are some available definitions in the literature of algebraic multiplicity of the family 𝔏 at a point x0 of the parameter at which the operator 𝔏(x0) becomes non-invertible. The purpose of this paper is to suggest an axiomatic for the multiplicity and to prove that the algebraic multiplicity is uniquely determined by a few of its properties, independently of its construction.
1973 ◽
Vol 25
(3)
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pp. 468-474
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Keyword(s):
1961 ◽
Vol 13
◽
pp. 505-518
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Keyword(s):
1996 ◽
Vol 1
(4)
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pp. 381-396
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Keyword(s):
2018 ◽
Vol 55
(3)
◽
pp. 327-344
Keyword(s):
1996 ◽
Vol 39
(4)
◽
pp. 460-467
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1975 ◽
Vol 12
(3)
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pp. 407-416
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Keyword(s):