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  1. No Access

    Article

    A weak vector-valued Banach–Stone theorem for Choquet simplices

    We prove a more general vector-valued variant of the following statement: If \(X_1\) X

    Jakub Rondoš, Jiří Spurný in Archiv der Mathematik (2021)

  2. No Access

    Article

    An Amir–Cambern theorem for subspaces of Banach lattice-valued continuous functions

    For \(i=1,2\) i = 1 , ...

    Jakub Rondoš, Jiří Spurný in Banach Journal of Mathematical Analysis (2021)

  3. No Access

    Article

    The minimum principle for affine functions and isomorphisms of continuous affine function spaces

    Let X be a compact convex set and let ext X stand for the set of extreme points of X. We show that if \(f:X\rightarrow {\mathbb {R}}\)f:X→R is an affine function with the point of continuity property such that $$...

    Petr Dostál, Jiří Spurný in Archiv der Mathematik (2020)

  4. No Access

    Article

    The abstract Dirichlet problem for continuous vector-valued functions

    Let X be a simplex with the set \({\text {ext}}\, X\) ...

    Jiří Spurný in Archiv der Mathematik (2017)

  5. No Access

    Article

    Typical Martingale Diverges at a Typical Point

    We investigate convergence of martingales adapted to a given filtration of finite \(\sigma \) ...

    Ondřej F. K. Kalenda, Jiří Spurný in Journal of Theoretical Probability (2016)

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    Article

    Baire classes of complex L 1-preduals

    Let X be a complex L 1-predual, non-separable in general. We investigate extendability of complex-valued bounded homogeneous Baire-α functions on the set ext B ...

    Pavel Ludvík, Jiří Spurný in Czechoslovak Mathematical Journal (2015)

  7. No Access

    Article

    Affine Baire functions on Choquet simplices

    We construct a metrizable simplex X such that for each n ɛ ℕ there exists a bounded function f on ext X of Baire class n that cannot be extended to a strongly affine function of Baire class n. We show that such a...

    Miroslav Kačena, Jiří Spurný in Central European Journal of Mathematics (2011)

  8. No Access

    Article

    On the dirichlet problem of extreme points for non-continuous functions

    Let X be a compact convex set and f be a bounded function defined on the set ext X of extreme points of X. We present a necessary and sufficient condition ensuring that f can be extended to a strongly affine Bair...

    Jiří Spurný in Israel Journal of Mathematics (2009)

  9. No Access

    Article

    Complementability of Spaces of Harmonic Functions

    Let U be a bounded open set of the Euclidean space ℝ d and let H(U) denote the space of all real-valued continuous functions on \(\overline U\) tha...

    Jiří Spurný in Potential Analysis (2008)

  10. No Access

    Article

    On Lattice Structure of the Space of Pointwise Limits of Harmonic Functions

    Let H1(U) denote the space of all pointwise limits of bounded sequences from H(U), where H(U) consists of all continuous functions on the closure ...

    Jiří Spurný in Potential Analysis (2006)

  11. No Access

    Article

    The Dirichlet problem for Baire-one functions

    Let X be a compact convex set and let ext X stand for the set of all extreme points of X. We characterize those bounded function defined on ext X which can be extended to an affine Baire-one function on the whole...

    Jiří Spurný in Central European Journal of Mathematics (2004)