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Akademický článek

A Note on Some Uniform Algebra Generated by Smooth Functions in the Plane

Publikováno v: Journal of Function Spaces and Applications, Vol 2012 (2012)

We determine, via classroom proofs, the maximal ideal space, the Bass stable rank as well as the topological and dense stable rank of the uniform closure of all complex-valued functions continuously differentiable on neighborhoods of a compact planar

Externí odkaz: https://doaj.org/article/3f64b6c2b0ed43d1863efa125ade3d72

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The Best Hölder-Lipschitz Constant Associated with the Function $${\varvec{(}1-z)^\alpha }$$

Autor: Rudolf Rupp, Raymond Mortini

Publikováno v: Computational Methods and Function Theory. 20:667-676

We determine $$\displaystyle \sup \left\{ \frac{|(1-z)^\alpha -(1-w)^\alpha |}{|z-w|^\alpha }: |z|,|w|\le 1,z\not =w\right\} $$ where $$0

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fa748107ecb909318dd2b6d734998199
https://doi.org/10.1007/s40315-020-00344-7

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A Characterization of Coherence of the Algebra of Bounded Uniformly Continuous Functions on a Metric Space and the Spectrum of General Self-Adjoint Banach Function Algebras

Autor: Raymond Mortini, Rudolf Rupp

Publikováno v: Results in Mathematics. 76

It is shown that the Banach algebra $$C_{ub}(X,d)$$ of bounded uniformly $${{\mathbb {K}}}$$ -valued continuous functions on a metric space (X, d) is coherent if and only if d is a uniformly discrete metric, or equivalently, if X does not contain twi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::393c8d82b23e3790b84fc56f6bc4a3ed
https://doi.org/10.1007/s00025-021-01523-1

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Extension Problems and Stable Ranks ---A Space Odyssey

Autor: Raymond Mortini, Rudolf Rupp

Publikováno v: Birkhäuser (Springer Nature). 2021, 978-3-030-73871-6

International audience; Encyclopedic monograph

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ea8ec957b4f557a39dda4aa15386260d
https://hal.archives-ouvertes.fr/hal-02896965

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A note on simultaneous approximation on Vitushkin sets

Autor: Rudolf Rupp, Raymond Mortini

Publikováno v: Hiroshima Mathematical Journal
Hiroshima Mathematical Journal, Hiroshima University, 2021, 51, pp.57-63. ⟨10.32917/h2020009⟩

Given a planar Jordan domain $G$ with rectifiable boundary, it is well known that smooth functions on the closure of $G$ do not always admit smooth extensions to $\mathbb C$. Further conditions on the boundary are necessary to guarantee such extensio

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4bed4195c9593122630ddb6f15fecc9
https://doi.org/10.32917/h2020009

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