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| Ultima descărcare din IBN: 2024-01-14 20:11 |
 SM ISO690:2012ABEL, Mati. Liouville’s theorem for vector-valued functions. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2013, nr. 2-3(73), pp. 5-16. ISSN 1024-7696. |
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 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 2-3(73) / 2013 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 5-16 | ||||||
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| Rezumat | ||||||
It is shown in [2] that any X-valued analytic map on C ∪ {∞} is a
constant map in case when X is a strongly galbed Hausdorff space. In [3] this result is generalized to the case when X is a topological linear Hausdorff space, the von Neumann bornology of which is strongly galbed. A new detailed proof for the last result is given in the present paper. Moreover, it is shown that for several topological linear spaces the von Neumann bornology is strongly galbed or pseudogalbed. |
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| Cuvinte-cheie Liouville’s theorem, vector-valued analytic function, metrizable linear space, galbed space |
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