Abstract
For a closed linear relation in a Banach space the concept of regularity is introduced and studied. It is shown that many of the results of Mbekhta and other authors for operators remain valid in the context of multivalued linear operators. We also extend the punctured neighbourhood theorem for operators to linear relations and as an application we obtain a characterization of semiFredholm linear relations which are regular.
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Álvarez, T. On regular linear relations. Acta. Math. Sin.-English Ser. 28, 183–194 (2012). https://doi.org/10.1007/s10114-012-9314-0
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DOI: https://doi.org/10.1007/s10114-012-9314-0