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Perturbation theory for linear operators

Perturbation theory for linear operators,T. Kato

Perturbation theory for linear operators   (Citations: 5221)
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Published in 1980.
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    • ...First, by using results of perturbation theory for linear operators 22, in <0002-S2002">Section 3...

    Shuichi Jimboet al. A non-destructive method for damage detection in steel-concrete struct...

    • ...Operator LQ −1 is well-defined on X and one has since operator Q −1 commutes with in virtue of our assumption (<0007" ref-type="disp-formula">7), we deduce that Q −1 commutes with Π−1 12, p...

    Mustapha Cheggaget al. Abstract differential equations of elliptic type with general Robin bo...

    • ...Then all the eigenvalues (λ i ) i≥1 of A are reals and we have only finitely many eigenvalues (λ i )1≤iN such that λ i  ≥ −η for some η > 0, each with finite-dimensional eigenspace (Triggiani 1975; Kato 1980), and hence the state space H can be decomposed according to where H u  = Vect(ϕ i , 1 ≤ i ≤ N) and H s  = Vect(ϕ i , i > N) and for all i ≥ 1, ϕ i is an eigenvector associated to the eigenvalue λ i and we have where S s (t) denotes the restriction of the semigroup S(t) in H s ...

    R. El Ayadiet al. Strong stabilisation and decay estimate for unbounded bilinear systems

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