Zeitschrift für Analysis und ihre Anwendungen Vol. 18, No. 3, pp. 713732 (1999) 

A Compactness Criterion of Mixed Krasnoselski{\u\i}Riesz Type in Regular Ideal Spaces of Vector FunctionsM. VäthM. Väth: University of Würzburg, Department of Mathematics, Am Hubland, D97074 Würz\burg; \ email: vaeth@cip.mathematik.uniwuerzburg.deAbstract: We present a compactness criterion in ideal spaces of vectorvalued functions. In the case of real functions, the criterion gives a precise formula for the measure of noncompactness. In the LebesgueBochner spaces $L_p(\R^n,U)$ the result can be interpreted as a Riesz compactness criterion and generalizes a theorem of Orlicz and Szufla. Keywords: riesz compactness criterion, Krasnoselski{\u\i} compactness criterion, ideal spaces, K{ö}the spaces, Banach function spaces, spaces of measurable functions, vectorvalued functions Classification (MSC2000): 46E30, 46E40, 45N10, 46G10 Full text of the article:
Electronic fulltext finalized on: 7 Aug 2001. This page was last modified: 9 Nov 2001.
© 2001 Heldermann Verlag
