A new decomposition for multivalued 3 × 3 matrices

Abstract

In this paper, a new concept for a [Formula: see text] block relation matrix is studied in a Banach space. It is shown that, under certain condition, we can investigate the Frobenius–Schur decomposition of relation matrices. Furthermore, we present some conditions which should allow the multivalued [Formula: see text] matrices linear operator to be closable.