What people are saying - Write a review
We haven't found any reviews in the usual places.
Abstract Triangular Representation of Completely
Inversion of the theorem on the abstract triangular repre
38 other sections not shown
Other editions - View all
absolutely continuous arbitrary assertion Banach space boundary value problem canonical equation Chapter characteristic numbers coincides complete chain completely continuous operator conjugate converges defined dissipative operator dissipative Volterra operator easily seen eigenvalues exists finite-dimensional operator following result formula Hamiltonian hence Hermitian Hilbert space Hilbert-Schmidt operator inequality inessential extension integral equation interval invariant subspace invertible kernel Lemma Let us denote linear hull linear operator M. G. Krein M. S. Brodskii M. S. Livsic matrix-function maximal chain maximal eigenchain multiplicators nonnegative nuclear imaginary component obtain obviously one-dimensional operator-function operators with nuclear orthogonal orthoprojectors partition positive type projector-function projectors proof of Theorem properties real component relation s-numbers S-real satisfying the condition selfadjoint selfadjoint boundary value selfadjoint operator sequence signature matrix simple solution spectrum Theorem Theorem 2.1 theorem is proved theory transformator unicellular operators uniform norm unitary unitary matrix V. I. Macaev vector vector-functions