Geodesic
On an isometric representation with the maximal set of spectral subspaces
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998), pp. 297-303.

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It was proved the theorem. Let $G$ be a locally compact noncompact separable Abelian group. Then there exists an isometric representation of the group $G$ in a Banach space $X$ without eigenvectors for which any spectral subspace $L(K)\ne\{0\}$ if $K$ contains a nonempty perfect subset. 
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     author = {G. M. Feldman and G. Muraz},
     title = {On an isometric representation with the maximal set of spectral subspaces},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
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     volume = {5},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_1998_5_a9/}
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G. M. Feldman; G. Muraz. On an isometric representation with the maximal set of spectral subspaces. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998), pp. 297-303. http://geodesic.mathdoc.fr/item/JMAG_1998_5_a9/