Abstract
We propose a method of investigating properties of regularizations of linear operators based on a splitting of an operator into two parts – the first one bounded and the second unbounded with a bounded inverse.

Editor-in-Chief: Kabanikhin, Sergey I.
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1Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warsaw, Poland.
Citation Information: Journal of Inverse and Ill-posed Problems. Volume 18, Issue 6, Pages 647–653, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2010.029, December 2010
We propose a method of investigating properties of regularizations of linear operators based on a splitting of an operator into two parts – the first one bounded and the second unbounded with a bounded inverse.
Keywords.: Regularization; Hilbert space
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