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pro vyhledávání: '"Yu. Yu. Druzhinin"'
Autor:
Yu. Yu. Druzhinin
Publikováno v:
Mathematical Notes. 104:678-682
The discontinuity of any selection from a best n-net for n ≥ 2 in an arbitrary not strictly convex Banach space is proved. It is also proved that there is no Lipschitz selection on an arbitrary Banach space of dimension at least 2 whose unit sphere
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::00ca7d03dc51bb1516a1f56de01a7bbe
https://doi.org/10.1134/s000143461811007x
https://doi.org/10.1134/s000143461811007x
Publikováno v:
Mathematical Notes. 102:465-474
We prove that the metric projection onto a finite-dimensional subspace Y ⊂ L p, p ∈ (1, 2) ∪ (2, ∞), satisfies the Lipschitz condition if and only if every function in Y is supported on finitely many atoms. We estimate the Lipschitz constant
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e9b3c59cc8ed56d7a3345fd66ce7ac3c
https://doi.org/10.1134/s0001434617090188
https://doi.org/10.1134/s0001434617090188
Autor:
Yu. Yu. Druzhinin
Publikováno v:
Moscow University Mathematics Bulletin. 65:28-33
Let Y be a Chebyshev subspace of a Banach space X. Then the single-valued metric projection operator PY: X ∈ Y taking each x ∈ X to the nearest element y ∈ Y is well defined. Let M be an arbitrary set and µ be a σ-finite measure on some σ-al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f3d29f4b200a27e9b3e22ffe4477bfd
https://doi.org/10.3103/s0027132210010055
https://doi.org/10.3103/s0027132210010055