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

• Datum: 2010
• Hauptverfasser: Zhuravlev, V. F., Журавлев, В. Ф.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2010
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2853
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 fo...