Multiple minimality of the root vectors of a polynomial operator pencil perturbed by an analytic outside a disc operator-function S(\(\gamma\) ) with \(S(\infty)=0\) (Q1263800)
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scientific article; zbMATH DE number 4127924
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiple minimality of the root vectors of a polynomial operator pencil perturbed by an analytic outside a disc operator-function S(\(\gamma\) ) with \(S(\infty)=0\) |
scientific article; zbMATH DE number 4127924 |
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Multiple minimality of the root vectors of a polynomial operator pencil perturbed by an analytic outside a disc operator-function S(\(\gamma\) ) with \(S(\infty)=0\) (English)
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1988
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Cet article a trait à la démonstration de la minimalité au sens de Keldich des chaînes dérivées, construite à partir des systèmes canoniques de vecteurs-racine de l'opérateur-fonction \[ L(\lambda)=I+L_ 0+\lambda_ 1L_ 1+...+\lambda^ nL_ n+S(\lambda), \] où les \(L_ i\) (0\(\leq i\leq n)\) sont des opérateurs compacts agissant dans un même espace hilbertien séparable.
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root vectors of a polynomial operator pencil
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