Partially Specified Matrices and Operators: Classification, Completion, Applications |
Other editions - View all
Common terms and phrases
A₁ analytic continuation assume B₁ Banach space basis block associated block similar bounded linear operators C₁ canonical form compute condition Corollary D₁ decomposed diagonal dim Ker direct sum eigenvalue completion problem entries equal finite dimensional finite type follows full length block full range pair full width block given Gohberg hence invariant polynomials invertible matrix Jordan blocks Ker Q kind with index Lemma linear operators linear transformations lower triangular M₁ matrix polynomial minimal realization modulo monic polynomial non-everywhere defined operator numbers operator block operator pencil Operator Theory P₁ positioned submatrix projection proof of Theorem Proposition prove q₁ rank rational matrix function respect result right Jordan pair right null pair root functions Schagen second kind strictly equivalent subspace T₁ Theorem 2.1 third kind triple U-similar U-specified matrix v₁ vectors Wiener-Hopf factorization X₁ zero kernel pair