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pro vyhledávání: '"Beata Gryszka"'
Autor:
Beata Gryszka, Janusz Gwoździewicz
Publikováno v:
Periodica Mathematica Hungarica. 86:336-342
Let $\mathbb{K}$ be an uncountable field of characteristic zero and let $f$ be a function from $\mathbb{K}^n$ to $\mathbb{K}$. We show that if the restriction of $f$ to every affine plane $L\subset\mathbb{K}^n$ is regular, then $f$ is a regular funct
Autor:
Beata Gryszka
Publikováno v:
Dissertationes Mathematicae. 572:1-48
Autor:
Janusz Gwoździewicz, Beata Gryszka
Publikováno v:
Colloquium Mathematicum. 164:149-160
Publikováno v:
Results in Mathematics. 77
The investigations of the smooth points in the spaces of continuous function were started by Banach in 1932 considering function space $$\mathcal {C}(\Omega )$$ C ( Ω ) . Singer and Sundaresan extended the result of Banach to the space of vector val
Let $ R $ be a regular local ring with maximal ideal $ \mathfrak{m} $. We consider elements $ f \in R $ such that their Newton polyhedron has a loose edge. We show that if the symbolic restriction of $f$ to such an edge is a product of two coprime po
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