On the absorption of eigenvalues by continuous spectrum in regular perturbation problems
نویسندگان
چکیده
منابع مشابه
On the Absorption of Eigenvalues by Continuous Spectrum in Regular Perturbation Problems
for all 1,4 E Q(A). Under this hypothesis A + hB is an entire analytic family of type (B) in the sense of Kato [3]. In particular, the theory of Rellich [6] and Kato [2, 31 is applicable: If CL,, is an eigenvalue of A + X,,B which is discrete (i.e., an isolated point of spec(A + &,B)) an o multiplicity K and either k = 1 d f or h, is real, then for h near &, , the only spectrum of A + /\B near ...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1977
ISSN: 0022-1236
DOI: 10.1016/0022-1236(77)90042-8