Geodesic
On the structure of fixed point sets of some compact maps in the Fréchet space
Mathematica Bohemica, Tome 118 (1993) no. 4, pp. 343-358.

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The aim of this note is 1. to show that some results (concerning the structure of the solution set of equations (18) and (21)) obtained by Czarnowski and Pruszko in [6] can be proved in a rather different way making use of a simle generalization of a theorem proved by Vidossich in [8]; and 2. to use a slight modification of the "main theorem" of Aronszajn from [1] applying methods analogous to the above mentioned idea of Vidossich to prove the fact that the solution set of the equation (24), (25) (studied in the paper [7]) is a compact $R_\delta$.
DOI : 10.21136/MB.1993.126160
Classification : 46A04, 46E05, 46N20, 47H10, 47N20, 54C55
Keywords: compact map; compact $R_\delta$-set 
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     title = {On the structure of fixed point sets of some compact maps in the {Fr\'echet} space},
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Kubáček, Zbyněk. On the structure of fixed point sets of some compact maps in the Fréchet space. Mathematica Bohemica, Tome 118 (1993) no. 4, pp. 343-358. doi : 10.21136/MB.1993.126160. http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.126160/

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