J. Spurný

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20112023

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math.FA2023

Boundary integral representation of multipliers of fragmented affine functions and other intermediate function spaces

Ondřej F. K. Kalenda, Jakub Rondoš, Jiří Spurný

We develop a theory of abstract intermediate function spaces on a compact convex set $X$ and study the behaviour of multipliers and centers of these spaces. In particular, we provi…

math.FA2020

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

Jakub Rondoš, Jiří Spurný

For $i = 1, 2$ , let $E_{i}$ be a reflexive Banach lattice over $R$ with a certain parameter $λ^{+} (E_{i}) > 1$ , let $K_{i}$ be a locally compact (Hausdorff) topological space and let $…

math.FA2011

Descriptive properties of elements of biduals of Banach spaces

Pavel Ludvik, Jiri Spurny

If $E$ is a Banach space, any element $x^{**}$ in its bidual $E^{**}$ is an affine function on the dual unit ball $B_{E^{*}}$ that might possess variety of descriptive properties wit…