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Title of Journal: Ukr Math J

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Abbravation: Ukrainian Mathematical Journal

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Springer US

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DOI

10.1002/jbmr.1807

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1573-9376

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Normally solvable operator equations in a Banach s

Authors: A A Boichuk V F Zhuravlev A A Pokutnyi
Publish Date: 2013/09/08
Volume: 65, Issue: 2, Pages: 179-192
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Abstract

On the basis of generalization of the wellknown Schmidt lemma to the case of linear bounded normally solvable operators in Banach spaces we propose a procedure for the construction of a generalized inverse operator of a linear bounded normally solvable operator whose kernel and image can be complemented in the indicated spaces The proposed construction enables one to obtain a solvability criterion for linear normally solvable operator equations and a formula for finding their general solutions

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