Критерий разрешимости и представление решений линейных n (d)-нормальных операторных уравнений в банаховом пространстве
ВФ Журавлев - Український математичний журнал, 2010 - dspace.nbuv.gov.ua
Український математичний журнал, 2010•dspace.nbuv.gov.ua
On the basis of a generalization of the well-known Schmidt lemma to the case of n-normal
and d-normal linear bounded operators in a Banach space, we propose constructions of
generalized inverse operators. We obtain criteria for the solvability of linear equations with
these operators and formulas for the representation of solutions of these equations.
and d-normal linear bounded operators in a Banach space, we propose constructions of
generalized inverse operators. We obtain criteria for the solvability of linear equations with
these operators and formulas for the representation of solutions of these equations.
On the basis of a generalization of the well-known Schmidt lemma to the case of n-normal and d-normal linear bounded operators in a Banach space, we propose constructions of generalized inverse operators. We obtain criteria for the solvability of linear equations with these operators and formulas for the representation of solutions of these equations.
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