• A NOTE ON INVARIANT SUBSPACES OF SOME OPERATORS IN HILBERT SPACE
Abstract
In this paper, we show that if is a nontrivial invariant for both and , then M is invariant or invariant. An example is provided to illustrate that if is invariant, then it is not necessarily invariant for either and . However if and have same structure and is invariant for then it is also invariant for and .
Keywords
Invariant subspaces, Nilpotent operators.
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