2014
DOI: 10.12988/ijma.2014.44276
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On multiple completeness of the system of eigen and associated vectors of a class of operator bundles

Abstract: In the paper we get the conditions on the coefficients of some class of n-th order operator bundle with a normal principal part, that provide n-fold completeness of all eigen and associated vectors of the given operator bundle. These conditions are expressed in the form of some algebraic conditions imposed on the norm of bounded operators participating in the exspression of the operator bundle.

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