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Closure of invertible operators on a Hilbert space
1990
Proceedings of the American Mathematical Society
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Although most of the characterizations of the closure of the invertible operators on a separable Hubert space do not extend to a nonseparable Hubert space, this note gives a characterization for an arbitrary Hubert space that generalizes the separable case in a natural way. The new concept of essential nullity, which facilitates this characterization, should find other applications.
doi:10.1090/s0002-9939-1990-1000147-9
fatcat:2coizhg6ajaahfkog4akcwuvwi