Geodesic
On the Representation of Mappings of Tychonov Spaces as Restrictions of Linear Transformations
Canadian mathematical bulletin, Tome 19 (1976) no. 1, pp. 53-57

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Let (X, τ) be a Tychonov space and the collection of all families of pseudometrics on X generating the topology τ on X. Let f:X→X and c>0. Then f is said to be a topological c-homothety if there exists some B in such that d(f(x), f(y))=cd(x, y) for all d ∈ B and all x, y in X (see [4]). We say that f can be linearized in L as a c-homothety if there exists a linear topological space L, and a topological embedding i:X→L such that i(f(x))=c i(x) for all x in X (see [4]).f is said to be squeezing if for some a in X.
DOI : 10.4153/CMB-1976-006-2
Mots-clés : 54.35, 54.6, 54.85, Topological c-homothety, Linear representations of selfmaps 
Chew, Kim-Peu; Tan, Kok-Keong. On the Representation of Mappings of Tychonov Spaces as Restrictions of Linear Transformations. Canadian mathematical bulletin, Tome 19 (1976) no. 1, pp. 53-57. doi: 10.4153/CMB-1976-006-2
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     title = {On the {Representation} of {Mappings} of {Tychonov} {Spaces} as {Restrictions} of {Linear} {Transformations}},
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     year = {1976},
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