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Perturbations of Fredholm linear relations in Banach spaces with application to 3×3-block matrices of linear relations
2016
Arab Journal of Mathematical Sciences
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The main focus in this paper consists of extending the main results of Diagana (2015) to linear relations. Moreover, we apply our obtained results to study some properties of 3 × 3-block matrices of linear relations in the form, Namely, we show that under some suitable conditions on relations B, C, F, D, G and H, the relation A is closed if and only if A, E and K are closed. In addition, we show that if A, E, K are Fredholm linear relations, then so is the linear relation A.
doi:10.1016/j.ajmsc.2015.05.001
fatcat:g5kuidrkbrbstlgpcfvzm2beq4