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.
In this paper we introduce the notion of Saphar linear relation in a Banach space and we study the behaviour of such notion in polynomials
Berzelius failed to make use of Faraday's electrochemical laws in his laborious determination of equivalent weights.