On metrizable families of subspaces of locally convex spaces via selections

Choban Mitrofan; Mihaylova Ekaterina

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747

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2020-02-13 16:05

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514.774 (1)

Geometrie diferențială. Metode algebrice și analitice în geometrie (26)

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CHOBAN, Mitrofan, MIHAYLOVA, Ekaterina. On metrizable families of subspaces of locally convex spaces via selections. In: Acta et commentationes (Ştiinţe Exacte și ale Naturii), 2019, nr. 2(8), pp. 16-21. ISSN 2537-6284. DOI: https://doi.org/10.36120/2587-3644.v8i2.16-21

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Acta et commentationes (Ştiinţe Exacte și ale Naturii)

Numărul 2(8) / 2019 / ISSN 2537-6284 /ISSNe 2587-3644

On metrizable families of subspaces of locally convex spaces via selections

Despre familiile metrizabile de subspații ale spațiilor local convexe referitor la selecții

DOI:https://doi.org/10.36120/2587-3644.v8i2.16-21

CZU: 514.774

MSC 2010: 54C60, 54C65.

Pag. 16-21

Choban Mitrofan¹, Mihaylova Ekaterina²

¹ Tiraspol State University,
² University of Architecture, Civil Engineering and Geodesy

Disponibil în IBN: 29 ianuarie 2020

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University of Architecture, Civil-engineering and Geodesy, So a, Bulgaria Summary. Using some methods from the works of E. Michael [11, 12, 13], T. Dobrowolski and J. van Mill [8] and of one of the authors [1, 2, 3, 5], a few new results about existence of the selections with conditions of continuity are proved.

Utilizand unele metode din lucrarile lui E. Michael [11, 12, 13], T. Dobrowolski si J. van Mill [8] si ale unuia dintre autorii [1, 2, 3, 5], au fost demonstrate cateva noi rezultate cu privire la existenta selectilor cu conditii de continuitate

Cuvinte-cheie
pseudometric, family of subspaces, set-valued mapping, selection, linear space,

cheie: pseudometric, familie de subspatii, set-valued mapping, Selecţie, spatiu liniar.

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