An example of a non-normable Fr\'echet space in which every continuous linear operator has an exponential
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 34 (1979) no. 4, pp. 176-177

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     author = {S. G. Lobanov},
     title = {An example of a non-normable {Fr\'echet} space in which every continuous linear operator has an exponential},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {176--177},
     publisher = {mathdoc},
     volume = {34},
     number = {4},
     year = {1979},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_1979_34_4_a18/}
}
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S. G. Lobanov. An example of a non-normable Fr\'echet space in which every continuous linear operator has an exponential. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 34 (1979) no. 4, pp. 176-177. http://geodesic.mathdoc.fr/item/RM_1979_34_4_a18/