A Compactness Criterion of Mixed Krasnoselskii-Riesz Type in Regular ideal Spaces of Vector Functions
Martin VäthCzech Academy of Sciences, Prague, Czech Republic
We present a compactness criterion in ideal spaces of vector-valued functions. In the case of real functions, the criterion gives a precise formula for the measure of non-compactness. In the Lebesgue-Bochner spaces the result can be interpreted as a Riesz compactness criterion and generalizes a theorem of Orlicz and Szufla.
Cite this article
Martin Väth, A Compactness Criterion of Mixed Krasnoselskii-Riesz Type in Regular ideal Spaces of Vector Functions. Z. Anal. Anwend. 18 (1999), no. 3, pp. 713–732DOI 10.4171/ZAA/908