Pseudotrees and equivalent norms in the continuous.Functions spaces
A class of the pseudotrees is considered. We construct locally compact extension of a pseudotree, which also has the structure of a pseudotree. We prove that the space C0(T) of all continuous functions on a locally compact pseudotree T admits a locally uniform rotund (LUR) renorming if the related space C0(P) admits such norm for every subtree P of T and an initial segments of T are separable.
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Authors
| Name | Organization | |
| Gul'ko S.P. | gulko@math.tsu.ru, spg@mail.tsu.ru | |
| Kobylina M.S. | kobylina@mail.ru, kobylina_m@sibmail.com, kobylina@math.tsu.ru |
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