Abstract
We define a new metric on the set of all closed linear operators between Hilbert spaces and investigate its properties. In particular, we show that the set of all closed operators with a closed range is an open subset of the set of all closed operators and the map $T\mapsto T^\dagger$ is an isometry in this metric. We also investigate the relationships between the topology induced by this metric and the gap metric.
Citation
S. H. Kulkarni. G. Ramesh. "The carrier graph topology." Banach J. Math. Anal. 5 (1) 56 - 69, 2011. https://doi.org/10.15352/bjma/1313362980
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