On the local spectral properties of the left multiplication operators
Zine El Abidine Abdelali · Operators and Matrices · 2020
Let X and Y be complex Banach spaces, and B(Y,X) (resp. B(X) ) be the space of all bounded linear operators from Y into X (resp. from X into itself). Fix an operator T B(X) and an open subset U of C , and denote by L T the left multiplication operator on B(Y,X) induced by T . Let