Abstract. In this note we give conditions for the invertibility of a bounded linear operator $T$ defined on a Banach space $X$ such that $X$ decomposes into a (non direct) sum of two closed $T$-invariant subspaces.
DOI: 10.14232/actasm-015-534-x
AMS Subject Classification
(1991): 47A10, 47A15,47A05, 15A29
Keyword(s):
invariant subspace,
spectrum of an operator
Received May 13, 2015, and in final form April 6, 2016. (Registered under 34/2015.)
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