Abstract
Let T be a continuous linear operator in LF-spaces. In [3], Theorem (2.6) we gave sufficient conditions for normal solvability of the adjoint T. Here we will prove that the conditions stated under B in this theorem are also necessary if N(T) is orthogonal in X.
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Möller, M. Necessary conditions for normal solvability in duals of LF-spaces. Manuscripta Math 58, 283–294 (1987). https://doi.org/10.1007/BF01165890
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DOI: https://doi.org/10.1007/BF01165890