Abstract
The aim of this note is to give some necessary conditions on T under which the inner derivation ΔT has closed range for spectral operators, nilpotent operators, algebraic operators and some necessary and sufficient conditions for compact operators acting in Banach spaces.
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© 1982 Springer Basel AG
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Shijie, L. (1982). On the Derivations with Norm Closed Range in Banach Spaces. In: Apostol, C., Douglas, R.G., Sz.-Nagy, B., Voiculescu, D., Arsene, G. (eds) Invariant Subspaces and Other Topics. Operator Theory: Advances and Applications, vol 6. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5445-0_11
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DOI: https://doi.org/10.1007/978-3-0348-5445-0_11
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5447-4
Online ISBN: 978-3-0348-5445-0
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