Inversion of analytically perturbed linear operators that are singular at the origin
نویسندگان
چکیده
منابع مشابه
Inversion of analytically perturbed linear operators that are singular at the origin
Let H and K be Hilbert spaces and for each z ∈ C let A(z) ∈ L(H, K) be a bounded but not necessarily compact linear map with A(z) analytic on a region |z| < a. If A(0) is singular we find conditions under which A(z)−1 is well defined on some region 0 < |z| < b by a convergent Laurent series with a finite order pole at the origin. We show that by changing to a standard Sobolev topology the metho...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2009
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2008.11.074