Solvability criterion and representation of solutions of $n$-normal and $d$-normal linear operator equations in a Banach space

  • V. F. Zhuravlev

Abstract

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.
Published
25.02.2010
How to Cite
Zhuravlev, V. F. “Solvability Criterion and Representation of Solutions of $n$-Normal and $d$-Normal Linear Operator Equations in a Banach Space”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 2, Feb. 2010, pp. 167–182, https://umj.imath.kiev.ua/index.php/umj/article/view/2853.
Section
Research articles