کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4590340 1334949 2013 60 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Boundary values of resolvents of selfadjoint operators in Krein spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Boundary values of resolvents of selfadjoint operators in Krein spaces
چکیده انگلیسی

We prove in this paper resolvent estimates for the boundary values of resolvents of selfadjoint operators on a Krein space: if H   is a selfadjoint operator on a Krein space HH, equipped with the Krein scalar product 〈⋅|⋅〉〈⋅|⋅〉, A   is the generator of a C0C0-group on HH and I⊂RI⊂R is an interval such that:1)H admits a Borel functional calculus on I,2)the spectral projection 1I(H)1I(H) is positive in the Krein sense,3)the following positive commutator estimate holds:Re〈u|[H,iA]u〉⩾c〈u|u〉,u∈Ran1I(H),c>0. then assuming some smoothness of H   with respect to the group eitAeitA, the following resolvent estimates hold:supz∈I±i]0,ν]‖〈A〉−s(H−z)−1〈A〉−s‖<∞,s>12. As an application we consider abstract Klein–Gordon equations∂t2ϕ(t)−2ikϕ(t)+hϕ(t)=0, and obtain resolvent estimates for their generators in charge spaces of Cauchy data.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 265, Issue 12, 15 December 2013, Pages 3245–3304
نویسندگان
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